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Finding the Fourth Proportional to 638.37, 880.92 and 358.63

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Solution

The fourth proportional to 638.37, 880.92 and 358.63 is: 494.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.37 : 880.92 = 358.63 : x
  2. Step 2: Convert to fraction form
    638.37/880.92 = 358.63/x
  3. Step 3: Cross multiply
    638.37x = 880.92 × 358.63
  4. Step 4: Simplify right side
    638.37x = 315,922.14
  5. Step 5: Solve for x
    x = 315,922.14/638.37
  6. Step 6: Final answer
    x = 494.89

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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.