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Finding the Fourth Proportional to 465.59, 642.58 and 269.13

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Solution

The fourth proportional to 465.59, 642.58 and 269.13 is: 371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.59 : 642.58 = 269.13 : x
  2. Step 2: Convert to fraction form
    465.59/642.58 = 269.13/x
  3. Step 3: Cross multiply
    465.59x = 642.58 × 269.13
  4. Step 4: Simplify right side
    465.59x = 172,934.47
  5. Step 5: Solve for x
    x = 172,934.47/465.59
  6. Step 6: Final answer
    x = 371.43

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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.