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Finding the Fourth Proportional to 638.70, 958.72 and 537.08

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Solution

The fourth proportional to 638.70, 958.72 and 537.08 is: 806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.70 : 958.72 = 537.08 : x
  2. Step 2: Convert to fraction form
    638.70/958.72 = 537.08/x
  3. Step 3: Cross multiply
    638.70x = 958.72 × 537.08
  4. Step 4: Simplify right side
    638.70x = 514,909.34
  5. Step 5: Solve for x
    x = 514,909.34/638.70
  6. Step 6: Final answer
    x = 806.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.