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Finding the Fourth Proportional to 410.96, 616.80 and 237.80

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Solution

The fourth proportional to 410.96, 616.80 and 237.80 is: 356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.96 : 616.80 = 237.80 : x
  2. Step 2: Convert to fraction form
    410.96/616.80 = 237.80/x
  3. Step 3: Cross multiply
    410.96x = 616.80 × 237.80
  4. Step 4: Simplify right side
    410.96x = 146,675.04
  5. Step 5: Solve for x
    x = 146,675.04/410.96
  6. Step 6: Final answer
    x = 356.91

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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.