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Finding the Fourth Proportional to 562.47, 774.32 and 500.21

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Solution

The fourth proportional to 562.47, 774.32 and 500.21 is: 688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.47 : 774.32 = 500.21 : x
  2. Step 2: Convert to fraction form
    562.47/774.32 = 500.21/x
  3. Step 3: Cross multiply
    562.47x = 774.32 × 500.21
  4. Step 4: Simplify right side
    562.47x = 387,316.23
  5. Step 5: Solve for x
    x = 387,316.23/562.47
  6. Step 6: Final answer
    x = 688.60

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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.