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Finding the Fourth Proportional to 410.72, 616.34 and 237.28

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Solution

The fourth proportional to 410.72, 616.34 and 237.28 is: 356.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.72 : 616.34 = 237.28 : x
  2. Step 2: Convert to fraction form
    410.72/616.34 = 237.28/x
  3. Step 3: Cross multiply
    410.72x = 616.34 × 237.28
  4. Step 4: Simplify right side
    410.72x = 146,245.36
  5. Step 5: Solve for x
    x = 146,245.36/410.72
  6. Step 6: Final answer
    x = 356.07

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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.