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Finding the Fourth Proportional to 527.92, 728.22 and 328.66

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Solution

The fourth proportional to 527.92, 728.22 and 328.66 is: 453.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.92 : 728.22 = 328.66 : x
  2. Step 2: Convert to fraction form
    527.92/728.22 = 328.66/x
  3. Step 3: Cross multiply
    527.92x = 728.22 × 328.66
  4. Step 4: Simplify right side
    527.92x = 239,336.20
  5. Step 5: Solve for x
    x = 239,336.20/527.92
  6. Step 6: Final answer
    x = 453.36

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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.