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Finding the Fourth Proportional to 527.20, 728.54 and 395.98

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Solution

The fourth proportional to 527.20, 728.54 and 395.98 is: 547.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.20 : 728.54 = 395.98 : x
  2. Step 2: Convert to fraction form
    527.20/728.54 = 395.98/x
  3. Step 3: Cross multiply
    527.20x = 728.54 × 395.98
  4. Step 4: Simplify right side
    527.20x = 288,487.27
  5. Step 5: Solve for x
    x = 288,487.27/527.20
  6. Step 6: Final answer
    x = 547.21

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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.