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Finding the Fourth Proportional to 534.52, 738.56 and 424.96

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Solution

The fourth proportional to 534.52, 738.56 and 424.96 is: 587.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.52 : 738.56 = 424.96 : x
  2. Step 2: Convert to fraction form
    534.52/738.56 = 424.96/x
  3. Step 3: Cross multiply
    534.52x = 738.56 × 424.96
  4. Step 4: Simplify right side
    534.52x = 313,858.46
  5. Step 5: Solve for x
    x = 313,858.46/534.52
  6. Step 6: Final answer
    x = 587.18

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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.