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Finding the Fourth Proportional to 542, 812.24 and 359.52

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Solution

The fourth proportional to 542, 812.24 and 359.52 is: 538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    542 : 812.24 = 359.52 : x
  2. Step 2: Convert to fraction form
    542/812.24 = 359.52/x
  3. Step 3: Cross multiply
    542x = 812.24 × 359.52
  4. Step 4: Simplify right side
    542x = 292,016.52
  5. Step 5: Solve for x
    x = 292,016.52/542
  6. Step 6: Final answer
    x = 538.78

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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.