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Finding the Fourth Proportional to 592.38, 886.84 and 553.91

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Solution

The fourth proportional to 592.38, 886.84 and 553.91 is: 829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.38 : 886.84 = 553.91 : x
  2. Step 2: Convert to fraction form
    592.38/886.84 = 553.91/x
  3. Step 3: Cross multiply
    592.38x = 886.84 × 553.91
  4. Step 4: Simplify right side
    592.38x = 491,223.73
  5. Step 5: Solve for x
    x = 491,223.73/592.38
  6. Step 6: Final answer
    x = 829.24

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Why These Related Problems?

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