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Finding the Fourth Proportional to 974.84, 1,462.25 and 281.54

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Solution

The fourth proportional to 974.84, 1,462.25 and 281.54 is: 422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.84 : 1,462.25 = 281.54 : x
  2. Step 2: Convert to fraction form
    974.84/1,462.25 = 281.54/x
  3. Step 3: Cross multiply
    974.84x = 1,462.25 × 281.54
  4. Step 4: Simplify right side
    974.84x = 411,686.22
  5. Step 5: Solve for x
    x = 411,686.22/974.84
  6. Step 6: Final answer
    x = 422.31

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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.