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Finding the Fourth Proportional to 974.08, 1,461.14 and 280.81

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Solution

The fourth proportional to 974.08, 1,461.14 and 280.81 is: 421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.08 : 1,461.14 = 280.81 : x
  2. Step 2: Convert to fraction form
    974.08/1,461.14 = 280.81/x
  3. Step 3: Cross multiply
    974.08x = 1,461.14 × 280.81
  4. Step 4: Simplify right side
    974.08x = 410,302.72
  5. Step 5: Solve for x
    x = 410,302.72/974.08
  6. Step 6: Final answer
    x = 421.22

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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.