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Finding the Fourth Proportional to 574.98, 788.29 and 564.60

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Solution

The fourth proportional to 574.98, 788.29 and 564.60 is: 774.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.98 : 788.29 = 564.60 : x
  2. Step 2: Convert to fraction form
    574.98/788.29 = 564.60/x
  3. Step 3: Cross multiply
    574.98x = 788.29 × 564.60
  4. Step 4: Simplify right side
    574.98x = 445,068.53
  5. Step 5: Solve for x
    x = 445,068.53/574.98
  6. Step 6: Final answer
    x = 774.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.