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Finding the Fourth Proportional to 649.32, 974.12 and 216.47

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Solution

The fourth proportional to 649.32, 974.12 and 216.47 is: 324.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.32 : 974.12 = 216.47 : x
  2. Step 2: Convert to fraction form
    649.32/974.12 = 216.47/x
  3. Step 3: Cross multiply
    649.32x = 974.12 × 216.47
  4. Step 4: Simplify right side
    649.32x = 210,867.76
  5. Step 5: Solve for x
    x = 210,867.76/649.32
  6. Step 6: Final answer
    x = 324.75

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Double scale
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Similar ratio
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1.5x scale

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.