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Finding the Fourth Proportional to 410.87, 616.28 and 179.79

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Solution

The fourth proportional to 410.87, 616.28 and 179.79 is: 269.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.87 : 616.28 = 179.79 : x
  2. Step 2: Convert to fraction form
    410.87/616.28 = 179.79/x
  3. Step 3: Cross multiply
    410.87x = 616.28 × 179.79
  4. Step 4: Simplify right side
    410.87x = 110,797.77
  5. Step 5: Solve for x
    x = 110,797.77/410.87
  6. Step 6: Final answer
    x = 269.66

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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.