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Finding the Fourth Proportional to 974.39, 1,461.65 and 281.05

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Solution

The fourth proportional to 974.39, 1,461.65 and 281.05 is: 421.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.39 : 1,461.65 = 281.05 : x
  2. Step 2: Convert to fraction form
    974.39/1,461.65 = 281.05/x
  3. Step 3: Cross multiply
    974.39x = 1,461.65 × 281.05
  4. Step 4: Simplify right side
    974.39x = 410,796.73
  5. Step 5: Solve for x
    x = 410,796.73/974.39
  6. Step 6: Final answer
    x = 421.59

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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.