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Finding the Fourth Proportional to 968.24, 1,452.30 and 237.78

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Solution

The fourth proportional to 968.24, 1,452.30 and 237.78 is: 356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.24 : 1,452.30 = 237.78 : x
  2. Step 2: Convert to fraction form
    968.24/1,452.30 = 237.78/x
  3. Step 3: Cross multiply
    968.24x = 1,452.30 × 237.78
  4. Step 4: Simplify right side
    968.24x = 345,327.89
  5. Step 5: Solve for x
    x = 345,327.89/968.24
  6. Step 6: Final answer
    x = 356.66

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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.