How to get previous record by date in case of no match in a join condition

I have two tables:

dates:

actual:

I want to join these tables on the condition date = business_date, but in the case where there's no match on dates it would get the record of the previous date. So resulting table would look like:

How would I achieve this?

SELECT
  *
FROM
  dates
CROSS JOIN LATERAL
(
  SELECT
    *
  FROM
    actual
  WHERE
    actual.business_date <= dates.date
  ORDER BY
    actual.business_date DESC
  LIMIT
    1
)
  AS actual

Or...

WITH
  actual_ranged AS
(
  SELECT
    *,
    LEAD(business_date, 1, 'infinity')
      OVER (
        ORDER BY business_date
      )
        AS next_business_date
  FROM
    actual
)
SELECT
  *
FROM
  actual_ranged AS a
LEFT JOIN
  dates         AS d
    ON  d.date >= a.business_date
    AND d.date <  a.next_business_date

Demo : https://dbfiddle.uk/tzjjhZJu