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Finding the Fourth Proportional to 638.23, 880.85 and 358.48

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Solution

The fourth proportional to 638.23, 880.85 and 358.48 is: 494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.23 : 880.85 = 358.48 : x
  2. Step 2: Convert to fraction form
    638.23/880.85 = 358.48/x
  3. Step 3: Cross multiply
    638.23x = 880.85 × 358.48
  4. Step 4: Simplify right side
    638.23x = 315,770.57
  5. Step 5: Solve for x
    x = 315,770.57/638.23
  6. Step 6: Final answer
    x = 494.76

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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.