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Finding the Fourth Proportional to 638.98, 956.67 and 492.64

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Solution

The fourth proportional to 638.98, 956.67 and 492.64 is: 737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.98 : 956.67 = 492.64 : x
  2. Step 2: Convert to fraction form
    638.98/956.67 = 492.64/x
  3. Step 3: Cross multiply
    638.98x = 956.67 × 492.64
  4. Step 4: Simplify right side
    638.98x = 471,293.91
  5. Step 5: Solve for x
    x = 471,293.91/638.98
  6. Step 6: Final answer
    x = 737.57

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Why These Related Problems?

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