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Finding the Fourth Proportional to 465.71, 642.60 and 269.18

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Solution

The fourth proportional to 465.71, 642.60 and 269.18 is: 371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.71 : 642.60 = 269.18 : x
  2. Step 2: Convert to fraction form
    465.71/642.60 = 269.18/x
  3. Step 3: Cross multiply
    465.71x = 642.60 × 269.18
  4. Step 4: Simplify right side
    465.71x = 172,971.86
  5. Step 5: Solve for x
    x = 172,971.86/465.71
  6. Step 6: Final answer
    x = 371.42

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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.