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Finding the Fourth Proportional to 542.23, 814.35 and 282.41

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Solution

The fourth proportional to 542.23, 814.35 and 282.41 is: 424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.23 : 814.35 = 282.41 : x
  2. Step 2: Convert to fraction form
    542.23/814.35 = 282.41/x
  3. Step 3: Cross multiply
    542.23x = 814.35 × 282.41
  4. Step 4: Simplify right side
    542.23x = 229,982.91
  5. Step 5: Solve for x
    x = 229,982.91/542.23
  6. Step 6: Final answer
    x = 424.14

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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.