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Finding the Fourth Proportional to 648.45, 972.12 and 282.96

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Solution

The fourth proportional to 648.45, 972.12 and 282.96 is: 424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.45 : 972.12 = 282.96 : x
  2. Step 2: Convert to fraction form
    648.45/972.12 = 282.96/x
  3. Step 3: Cross multiply
    648.45x = 972.12 × 282.96
  4. Step 4: Simplify right side
    648.45x = 275,069.66
  5. Step 5: Solve for x
    x = 275,069.66/648.45
  6. Step 6: Final answer
    x = 424.20

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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.