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Finding the Fourth Proportional to 648.36, 972.08 and 209.46

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Solution

The fourth proportional to 648.36, 972.08 and 209.46 is: 314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.36 : 972.08 = 209.46 : x
  2. Step 2: Convert to fraction form
    648.36/972.08 = 209.46/x
  3. Step 3: Cross multiply
    648.36x = 972.08 × 209.46
  4. Step 4: Simplify right side
    648.36x = 203,611.88
  5. Step 5: Solve for x
    x = 203,611.88/648.36
  6. Step 6: Final answer
    x = 314.04

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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.