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Finding the Fourth Proportional to 465.38, 642.19 and 268.91

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Solution

The fourth proportional to 465.38, 642.19 and 268.91 is: 371.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.38 : 642.19 = 268.91 : x
  2. Step 2: Convert to fraction form
    465.38/642.19 = 268.91/x
  3. Step 3: Cross multiply
    465.38x = 642.19 × 268.91
  4. Step 4: Simplify right side
    465.38x = 172,691.31
  5. Step 5: Solve for x
    x = 172,691.31/465.38
  6. Step 6: Final answer
    x = 371.08

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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.