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Finding the Fourth Proportional to 650.24, 974.50 and 284.63

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Solution

The fourth proportional to 650.24, 974.50 and 284.63 is: 426.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.24 : 974.50 = 284.63 : x
  2. Step 2: Convert to fraction form
    650.24/974.50 = 284.63/x
  3. Step 3: Cross multiply
    650.24x = 974.50 × 284.63
  4. Step 4: Simplify right side
    650.24x = 277,373.66
  5. Step 5: Solve for x
    x = 277,373.66/650.24
  6. Step 6: Final answer
    x = 426.57

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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.