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Finding the Fourth Proportional to 974.23, 1,461.04 and 280.71

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Solution

The fourth proportional to 974.23, 1,461.04 and 280.71 is: 420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.23 : 1,461.04 = 280.71 : x
  2. Step 2: Convert to fraction form
    974.23/1,461.04 = 280.71/x
  3. Step 3: Cross multiply
    974.23x = 1,461.04 × 280.71
  4. Step 4: Simplify right side
    974.23x = 410,123.48
  5. Step 5: Solve for x
    x = 410,123.48/974.23
  6. Step 6: Final answer
    x = 420.97

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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.