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Finding the Fourth Proportional to 649, 972.66 and 324.52

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Solution

The fourth proportional to 649, 972.66 and 324.52 is: 486.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    649 : 972.66 = 324.52 : x
  2. Step 2: Convert to fraction form
    649/972.66 = 324.52/x
  3. Step 3: Cross multiply
    649x = 972.66 × 324.52
  4. Step 4: Simplify right side
    649x = 315,647.62
  5. Step 5: Solve for x
    x = 315,647.62/649
  6. Step 6: Final answer
    x = 486.36

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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.