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Finding the Fourth Proportional to 527.72, 728.24 and 306.71

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Solution

The fourth proportional to 527.72, 728.24 and 306.71 is: 423.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.72 : 728.24 = 306.71 : x
  2. Step 2: Convert to fraction form
    527.72/728.24 = 306.71/x
  3. Step 3: Cross multiply
    527.72x = 728.24 × 306.71
  4. Step 4: Simplify right side
    527.72x = 223,358.49
  5. Step 5: Solve for x
    x = 223,358.49/527.72
  6. Step 6: Final answer
    x = 423.25

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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.