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Finding the Fourth Proportional to 974.18, 1,461.29 and 280.82

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Solution

The fourth proportional to 974.18, 1,461.29 and 280.82 is: 421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.18 : 1,461.29 = 280.82 : x
  2. Step 2: Convert to fraction form
    974.18/1,461.29 = 280.82/x
  3. Step 3: Cross multiply
    974.18x = 1,461.29 × 280.82
  4. Step 4: Simplify right side
    974.18x = 410,359.46
  5. Step 5: Solve for x
    x = 410,359.46/974.18
  6. Step 6: Final answer
    x = 421.24

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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.