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Finding the Fourth Proportional to 527.39, 726.21 and 477.96

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Solution

The fourth proportional to 527.39, 726.21 and 477.96 is: 658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.39 : 726.21 = 477.96 : x
  2. Step 2: Convert to fraction form
    527.39/726.21 = 477.96/x
  3. Step 3: Cross multiply
    527.39x = 726.21 × 477.96
  4. Step 4: Simplify right side
    527.39x = 347,099.33
  5. Step 5: Solve for x
    x = 347,099.33/527.39
  6. Step 6: Final answer
    x = 658.14

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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.