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Finding the Fourth Proportional to 676, 1,014.06 and 237.20

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Solution

The fourth proportional to 676, 1,014.06 and 237.20 is: 355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    676 : 1,014.06 = 237.20 : x
  2. Step 2: Convert to fraction form
    676/1,014.06 = 237.20/x
  3. Step 3: Cross multiply
    676x = 1,014.06 × 237.20
  4. Step 4: Simplify right side
    676x = 240,535.03
  5. Step 5: Solve for x
    x = 240,535.03/676
  6. Step 6: Final answer
    x = 355.82

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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.