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Finding the Fourth Proportional to 642.87, 964.27 and 252.85

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Solution

The fourth proportional to 642.87, 964.27 and 252.85 is: 379.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.87 : 964.27 = 252.85 : x
  2. Step 2: Convert to fraction form
    642.87/964.27 = 252.85/x
  3. Step 3: Cross multiply
    642.87x = 964.27 × 252.85
  4. Step 4: Simplify right side
    642.87x = 243,815.67
  5. Step 5: Solve for x
    x = 243,815.67/642.87
  6. Step 6: Final answer
    x = 379.26

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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.