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Finding the Fourth Proportional to 648.14, 972.48 and 282.74

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Solution

The fourth proportional to 648.14, 972.48 and 282.74 is: 424.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.14 : 972.48 = 282.74 : x
  2. Step 2: Convert to fraction form
    648.14/972.48 = 282.74/x
  3. Step 3: Cross multiply
    648.14x = 972.48 × 282.74
  4. Step 4: Simplify right side
    648.14x = 274,959.00
  5. Step 5: Solve for x
    x = 274,959.00/648.14
  6. Step 6: Final answer
    x = 424.23

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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.