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Finding the Fourth Proportional to 649.49, 974.27 and 187.34

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Solution

The fourth proportional to 649.49, 974.27 and 187.34 is: 281.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.49 : 974.27 = 187.34 : x
  2. Step 2: Convert to fraction form
    649.49/974.27 = 187.34/x
  3. Step 3: Cross multiply
    649.49x = 974.27 × 187.34
  4. Step 4: Simplify right side
    649.49x = 182,515.34
  5. Step 5: Solve for x
    x = 182,515.34/649.49
  6. Step 6: Final answer
    x = 281.02

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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.