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Finding the Fourth Proportional to 409.29, 613.42 and 177.92

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Solution

The fourth proportional to 409.29, 613.42 and 177.92 is: 266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.29 : 613.42 = 177.92 : x
  2. Step 2: Convert to fraction form
    409.29/613.42 = 177.92/x
  3. Step 3: Cross multiply
    409.29x = 613.42 × 177.92
  4. Step 4: Simplify right side
    409.29x = 109,139.69
  5. Step 5: Solve for x
    x = 109,139.69/409.29
  6. Step 6: Final answer
    x = 266.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.