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Finding the Fourth Proportional to 648.03, 971.50 and 282.54

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Solution

The fourth proportional to 648.03, 971.50 and 282.54 is: 423.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.03 : 971.50 = 282.54 : x
  2. Step 2: Convert to fraction form
    648.03/971.50 = 282.54/x
  3. Step 3: Cross multiply
    648.03x = 971.50 × 282.54
  4. Step 4: Simplify right side
    648.03x = 274,487.61
  5. Step 5: Solve for x
    x = 274,487.61/648.03
  6. Step 6: Final answer
    x = 423.57

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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.