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Finding the Fourth Proportional to 731.44, 1,097.24 and 244.32

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Solution

The fourth proportional to 731.44, 1,097.24 and 244.32 is: 366.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.44 : 1,097.24 = 244.32 : x
  2. Step 2: Convert to fraction form
    731.44/1,097.24 = 244.32/x
  3. Step 3: Cross multiply
    731.44x = 1,097.24 × 244.32
  4. Step 4: Simplify right side
    731.44x = 268,077.68
  5. Step 5: Solve for x
    x = 268,077.68/731.44
  6. Step 6: Final answer
    x = 366.51

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Half scale
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Double scale
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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.