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Finding the Fourth Proportional to 614.76, 922.16 and 249.49

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Solution

The fourth proportional to 614.76, 922.16 and 249.49 is: 374.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.76 : 922.16 = 249.49 : x
  2. Step 2: Convert to fraction form
    614.76/922.16 = 249.49/x
  3. Step 3: Cross multiply
    614.76x = 922.16 × 249.49
  4. Step 4: Simplify right side
    614.76x = 230,069.70
  5. Step 5: Solve for x
    x = 230,069.70/614.76
  6. Step 6: Final answer
    x = 374.24

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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.