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Finding the Fourth Proportional to 527.96, 728.50 and 306.88

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Solution

The fourth proportional to 527.96, 728.50 and 306.88 is: 423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.96 : 728.50 = 306.88 : x
  2. Step 2: Convert to fraction form
    527.96/728.50 = 306.88/x
  3. Step 3: Cross multiply
    527.96x = 728.50 × 306.88
  4. Step 4: Simplify right side
    527.96x = 223,562.08
  5. Step 5: Solve for x
    x = 223,562.08/527.96
  6. Step 6: Final answer
    x = 423.45

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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.