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Finding the Fourth Proportional to 974.38, 1,461.34 and 280.89

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Solution

The fourth proportional to 974.38, 1,461.34 and 280.89 is: 421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.38 : 1,461.34 = 280.89 : x
  2. Step 2: Convert to fraction form
    974.38/1,461.34 = 280.89/x
  3. Step 3: Cross multiply
    974.38x = 1,461.34 × 280.89
  4. Step 4: Simplify right side
    974.38x = 410,475.79
  5. Step 5: Solve for x
    x = 410,475.79/974.38
  6. Step 6: Final answer
    x = 421.27

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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.