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Finding the Fourth Proportional to 465.14, 642.05 and 268.71

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Solution

The fourth proportional to 465.14, 642.05 and 268.71 is: 370.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.14 : 642.05 = 268.71 : x
  2. Step 2: Convert to fraction form
    465.14/642.05 = 268.71/x
  3. Step 3: Cross multiply
    465.14x = 642.05 × 268.71
  4. Step 4: Simplify right side
    465.14x = 172,523.91
  5. Step 5: Solve for x
    x = 172,523.91/465.14
  6. Step 6: Final answer
    x = 370.91

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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.