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Finding the Fourth Proportional to 648.28, 972.46 and 209.56

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Solution

The fourth proportional to 648.28, 972.46 and 209.56 is: 314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.28 : 972.46 = 209.56 : x
  2. Step 2: Convert to fraction form
    648.28/972.46 = 209.56/x
  3. Step 3: Cross multiply
    648.28x = 972.46 × 209.56
  4. Step 4: Simplify right side
    648.28x = 203,788.72
  5. Step 5: Solve for x
    x = 203,788.72/648.28
  6. Step 6: Final answer
    x = 314.35

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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.