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Finding the Fourth Proportional to 650.17, 974.75 and 284.66

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Solution

The fourth proportional to 650.17, 974.75 and 284.66 is: 426.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.17 : 974.75 = 284.66 : x
  2. Step 2: Convert to fraction form
    650.17/974.75 = 284.66/x
  3. Step 3: Cross multiply
    650.17x = 974.75 × 284.66
  4. Step 4: Simplify right side
    650.17x = 277,466.04
  5. Step 5: Solve for x
    x = 277,466.04/650.17
  6. Step 6: Final answer
    x = 426.76

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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.