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Finding the Fourth Proportional to 638.28, 880.76 and 358.46

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Solution

The fourth proportional to 638.28, 880.76 and 358.46 is: 494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.28 : 880.76 = 358.46 : x
  2. Step 2: Convert to fraction form
    638.28/880.76 = 358.46/x
  3. Step 3: Cross multiply
    638.28x = 880.76 × 358.46
  4. Step 4: Simplify right side
    638.28x = 315,713.24
  5. Step 5: Solve for x
    x = 315,713.24/638.28
  6. Step 6: Final answer
    x = 494.63

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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.