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Finding the Fourth Proportional to 638.26, 880.72 and 358.51

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Solution

The fourth proportional to 638.26, 880.72 and 358.51 is: 494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.26 : 880.72 = 358.51 : x
  2. Step 2: Convert to fraction form
    638.26/880.72 = 358.51/x
  3. Step 3: Cross multiply
    638.26x = 880.72 × 358.51
  4. Step 4: Simplify right side
    638.26x = 315,746.93
  5. Step 5: Solve for x
    x = 315,746.93/638.26
  6. Step 6: Final answer
    x = 494.70

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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.