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Finding the Fourth Proportional to 967.62, 1,451.43 and 237.20

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Solution

The fourth proportional to 967.62, 1,451.43 and 237.20 is: 355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.62 : 1,451.43 = 237.20 : x
  2. Step 2: Convert to fraction form
    967.62/1,451.43 = 237.20/x
  3. Step 3: Cross multiply
    967.62x = 1,451.43 × 237.20
  4. Step 4: Simplify right side
    967.62x = 344,271.35
  5. Step 5: Solve for x
    x = 344,271.35/967.62
  6. Step 6: Final answer
    x = 355.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.