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Finding the Fourth Proportional to 638.16, 880.54 and 358.39

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Solution

The fourth proportional to 638.16, 880.54 and 358.39 is: 494.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.16 : 880.54 = 358.39 : x
  2. Step 2: Convert to fraction form
    638.16/880.54 = 358.39/x
  3. Step 3: Cross multiply
    638.16x = 880.54 × 358.39
  4. Step 4: Simplify right side
    638.16x = 315,576.73
  5. Step 5: Solve for x
    x = 315,576.73/638.16
  6. Step 6: Final answer
    x = 494.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.