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Finding the Fourth Proportional to 648.23, 971.79 and 282.74

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Solution

The fourth proportional to 648.23, 971.79 and 282.74 is: 423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.23 : 971.79 = 282.74 : x
  2. Step 2: Convert to fraction form
    648.23/971.79 = 282.74/x
  3. Step 3: Cross multiply
    648.23x = 971.79 × 282.74
  4. Step 4: Simplify right side
    648.23x = 274,766.33
  5. Step 5: Solve for x
    x = 274,766.33/648.23
  6. Step 6: Final answer
    x = 423.87

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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.