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Finding the Fourth Proportional to 527.72, 724.24 and 513.95

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Solution

The fourth proportional to 527.72, 724.24 and 513.95 is: 705.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.72 : 724.24 = 513.95 : x
  2. Step 2: Convert to fraction form
    527.72/724.24 = 513.95/x
  3. Step 3: Cross multiply
    527.72x = 724.24 × 513.95
  4. Step 4: Simplify right side
    527.72x = 372,220.17
  5. Step 5: Solve for x
    x = 372,220.17/527.72
  6. Step 6: Final answer
    x = 705.34

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.