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Finding the Fourth Proportional to 410.92, 567.15 and 269.32

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Solution

The fourth proportional to 410.92, 567.15 and 269.32 is: 371.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.92 : 567.15 = 269.32 : x
  2. Step 2: Convert to fraction form
    410.92/567.15 = 269.32/x
  3. Step 3: Cross multiply
    410.92x = 567.15 × 269.32
  4. Step 4: Simplify right side
    410.92x = 152,742.00
  5. Step 5: Solve for x
    x = 152,742.00/410.92
  6. Step 6: Final answer
    x = 371.71

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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.