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Finding the Fourth Proportional to 592.38, 816.48 and 405.54

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Solution

The fourth proportional to 592.38, 816.48 and 405.54 is: 558.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.38 : 816.48 = 405.54 : x
  2. Step 2: Convert to fraction form
    592.38/816.48 = 405.54/x
  3. Step 3: Cross multiply
    592.38x = 816.48 × 405.54
  4. Step 4: Simplify right side
    592.38x = 331,115.30
  5. Step 5: Solve for x
    x = 331,115.30/592.38
  6. Step 6: Final answer
    x = 558.96

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Why These Related Problems?

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