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Finding the Fourth Proportional to 527.59, 727.91 and 306.49

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Solution

The fourth proportional to 527.59, 727.91 and 306.49 is: 422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.59 : 727.91 = 306.49 : x
  2. Step 2: Convert to fraction form
    527.59/727.91 = 306.49/x
  3. Step 3: Cross multiply
    527.59x = 727.91 × 306.49
  4. Step 4: Simplify right side
    527.59x = 223,098.19
  5. Step 5: Solve for x
    x = 223,098.19/527.59
  6. Step 6: Final answer
    x = 422.87

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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.