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Finding the Fourth Proportional to 562.20, 775.24 and 437.64

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Solution

The fourth proportional to 562.20, 775.24 and 437.64 is: 603.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.20 : 775.24 = 437.64 : x
  2. Step 2: Convert to fraction form
    562.20/775.24 = 437.64/x
  3. Step 3: Cross multiply
    562.20x = 775.24 × 437.64
  4. Step 4: Simplify right side
    562.20x = 339,276.03
  5. Step 5: Solve for x
    x = 339,276.03/562.20
  6. Step 6: Final answer
    x = 603.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.