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Finding the Fourth Proportional to 638.09, 880.56 and 358.33

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Solution

The fourth proportional to 638.09, 880.56 and 358.33 is: 494.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.09 : 880.56 = 358.33 : x
  2. Step 2: Convert to fraction form
    638.09/880.56 = 358.33/x
  3. Step 3: Cross multiply
    638.09x = 880.56 × 358.33
  4. Step 4: Simplify right side
    638.09x = 315,530.21
  5. Step 5: Solve for x
    x = 315,530.21/638.09
  6. Step 6: Final answer
    x = 494.49

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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.