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Finding the Fourth Proportional to 527.43, 728.19 and 330.96

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Solution

The fourth proportional to 527.43, 728.19 and 330.96 is: 456.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.43 : 728.19 = 330.96 : x
  2. Step 2: Convert to fraction form
    527.43/728.19 = 330.96/x
  3. Step 3: Cross multiply
    527.43x = 728.19 × 330.96
  4. Step 4: Simplify right side
    527.43x = 241,001.76
  5. Step 5: Solve for x
    x = 241,001.76/527.43
  6. Step 6: Final answer
    x = 456.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.