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Finding the Fourth Proportional to 574.62, 788.28 and 560.04

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Solution

The fourth proportional to 574.62, 788.28 and 560.04 is: 768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.62 : 788.28 = 560.04 : x
  2. Step 2: Convert to fraction form
    574.62/788.28 = 560.04/x
  3. Step 3: Cross multiply
    574.62x = 788.28 × 560.04
  4. Step 4: Simplify right side
    574.62x = 441,468.33
  5. Step 5: Solve for x
    x = 441,468.33/574.62
  6. Step 6: Final answer
    x = 768.28

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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.