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Finding the Fourth Proportional to 527.32, 726.60 and 484.12

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Solution

The fourth proportional to 527.32, 726.60 and 484.12 is: 667.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.32 : 726.60 = 484.12 : x
  2. Step 2: Convert to fraction form
    527.32/726.60 = 484.12/x
  3. Step 3: Cross multiply
    527.32x = 726.60 × 484.12
  4. Step 4: Simplify right side
    527.32x = 351,761.59
  5. Step 5: Solve for x
    x = 351,761.59/527.32
  6. Step 6: Final answer
    x = 667.07

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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.