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Finding the Fourth Proportional to 649.96, 975.12 and 217.16

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Solution

The fourth proportional to 649.96, 975.12 and 217.16 is: 325.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.96 : 975.12 = 217.16 : x
  2. Step 2: Convert to fraction form
    649.96/975.12 = 217.16/x
  3. Step 3: Cross multiply
    649.96x = 975.12 × 217.16
  4. Step 4: Simplify right side
    649.96x = 211,757.06
  5. Step 5: Solve for x
    x = 211,757.06/649.96
  6. Step 6: Final answer
    x = 325.80

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Double scale
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Similar ratio
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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.