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Finding the Fourth Proportional to 648.26, 972.53 and 209.54

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Solution

The fourth proportional to 648.26, 972.53 and 209.54 is: 314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.26 : 972.53 = 209.54 : x
  2. Step 2: Convert to fraction form
    648.26/972.53 = 209.54/x
  3. Step 3: Cross multiply
    648.26x = 972.53 × 209.54
  4. Step 4: Simplify right side
    648.26x = 203,778.81
  5. Step 5: Solve for x
    x = 203,778.81/648.26
  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.