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Finding the Fourth Proportional to 592.16, 886.41 and 500.22

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Solution

The fourth proportional to 592.16, 886.41 and 500.22 is: 748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.16 : 886.41 = 500.22 : x
  2. Step 2: Convert to fraction form
    592.16/886.41 = 500.22/x
  3. Step 3: Cross multiply
    592.16x = 886.41 × 500.22
  4. Step 4: Simplify right side
    592.16x = 443,400.01
  5. Step 5: Solve for x
    x = 443,400.01/592.16
  6. Step 6: Final answer
    x = 748.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.