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Finding the Fourth Proportional to 648.53, 972.59 and 209.69

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Solution

The fourth proportional to 648.53, 972.59 and 209.69 is: 314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.53 : 972.59 = 209.69 : x
  2. Step 2: Convert to fraction form
    648.53/972.59 = 209.69/x
  3. Step 3: Cross multiply
    648.53x = 972.59 × 209.69
  4. Step 4: Simplify right side
    648.53x = 203,945.75
  5. Step 5: Solve for x
    x = 203,945.75/648.53
  6. Step 6: Final answer
    x = 314.47

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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.