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Finding the Fourth Proportional to 638.26, 880.82 and 358.55

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Solution

The fourth proportional to 638.26, 880.82 and 358.55 is: 494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.26 : 880.82 = 358.55 : x
  2. Step 2: Convert to fraction form
    638.26/880.82 = 358.55/x
  3. Step 3: Cross multiply
    638.26x = 880.82 × 358.55
  4. Step 4: Simplify right side
    638.26x = 315,818.48
  5. Step 5: Solve for x
    x = 315,818.48/638.26
  6. Step 6: Final answer
    x = 494.81

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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.