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Finding the Fourth Proportional to 976.17, 1,463.92 and 282.65

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Solution

The fourth proportional to 976.17, 1,463.92 and 282.65 is: 423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.17 : 1,463.92 = 282.65 : x
  2. Step 2: Convert to fraction form
    976.17/1,463.92 = 282.65/x
  3. Step 3: Cross multiply
    976.17x = 1,463.92 × 282.65
  4. Step 4: Simplify right side
    976.17x = 413,784.90
  5. Step 5: Solve for x
    x = 413,784.90/976.17
  6. Step 6: Final answer
    x = 423.88

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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.