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Finding the Fourth Proportional to 648.28, 971.73 and 282.97

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Solution

The fourth proportional to 648.28, 971.73 and 282.97 is: 424.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.28 : 971.73 = 282.97 : x
  2. Step 2: Convert to fraction form
    648.28/971.73 = 282.97/x
  3. Step 3: Cross multiply
    648.28x = 971.73 × 282.97
  4. Step 4: Simplify right side
    648.28x = 274,965.58
  5. Step 5: Solve for x
    x = 274,965.58/648.28
  6. Step 6: Final answer
    x = 424.15

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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.