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Finding the Fourth Proportional to 527.67, 728.25 and 306.61

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Solution

The fourth proportional to 527.67, 728.25 and 306.61 is: 423.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.67 : 728.25 = 306.61 : x
  2. Step 2: Convert to fraction form
    527.67/728.25 = 306.61/x
  3. Step 3: Cross multiply
    527.67x = 728.25 × 306.61
  4. Step 4: Simplify right side
    527.67x = 223,288.73
  5. Step 5: Solve for x
    x = 223,288.73/527.67
  6. Step 6: Final answer
    x = 423.16

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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.