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Finding the Fourth Proportional to 592.20, 814.91 and 552.11

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Solution

The fourth proportional to 592.20, 814.91 and 552.11 is: 759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.20 : 814.91 = 552.11 : x
  2. Step 2: Convert to fraction form
    592.20/814.91 = 552.11/x
  3. Step 3: Cross multiply
    592.20x = 814.91 × 552.11
  4. Step 4: Simplify right side
    592.20x = 449,913.13
  5. Step 5: Solve for x
    x = 449,913.13/592.20
  6. Step 6: Final answer
    x = 759.73

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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.