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Finding the Fourth Proportional to 410.90, 616.40 and 179.84

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Solution

The fourth proportional to 410.90, 616.40 and 179.84 is: 269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.90 : 616.40 = 179.84 : x
  2. Step 2: Convert to fraction form
    410.90/616.40 = 179.84/x
  3. Step 3: Cross multiply
    410.90x = 616.40 × 179.84
  4. Step 4: Simplify right side
    410.90x = 110,849.39
  5. Step 5: Solve for x
    x = 110,849.39/410.90
  6. Step 6: Final answer
    x = 269.78

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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.