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Finding the Fourth Proportional to 648.56, 971.76 and 282.80

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Solution

The fourth proportional to 648.56, 971.76 and 282.80 is: 423.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.56 : 971.76 = 282.80 : x
  2. Step 2: Convert to fraction form
    648.56/971.76 = 282.80/x
  3. Step 3: Cross multiply
    648.56x = 971.76 × 282.80
  4. Step 4: Simplify right side
    648.56x = 274,813.73
  5. Step 5: Solve for x
    x = 274,813.73/648.56
  6. Step 6: Final answer
    x = 423.73

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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.