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Finding the Fourth Proportional to 649.06, 972.78 and 324.52

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Solution

The fourth proportional to 649.06, 972.78 and 324.52 is: 486.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.06 : 972.78 = 324.52 : x
  2. Step 2: Convert to fraction form
    649.06/972.78 = 324.52/x
  3. Step 3: Cross multiply
    649.06x = 972.78 × 324.52
  4. Step 4: Simplify right side
    649.06x = 315,682.92
  5. Step 5: Solve for x
    x = 315,682.92/649.06
  6. Step 6: Final answer
    x = 486.37

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Double scale
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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.