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Finding the Fourth Proportional to 648.06, 971.46 and 282.78

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Solution

The fourth proportional to 648.06, 971.46 and 282.78 is: 423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.06 : 971.46 = 282.78 : x
  2. Step 2: Convert to fraction form
    648.06/971.46 = 282.78/x
  3. Step 3: Cross multiply
    648.06x = 971.46 × 282.78
  4. Step 4: Simplify right side
    648.06x = 274,709.46
  5. Step 5: Solve for x
    x = 274,709.46/648.06
  6. Step 6: Final answer
    x = 423.90

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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.