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Finding the Fourth Proportional to 502.25, 752.72 and 271.23

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Solution

The fourth proportional to 502.25, 752.72 and 271.23 is: 406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.25 : 752.72 = 271.23 : x
  2. Step 2: Convert to fraction form
    502.25/752.72 = 271.23/x
  3. Step 3: Cross multiply
    502.25x = 752.72 × 271.23
  4. Step 4: Simplify right side
    502.25x = 204,158.89
  5. Step 5: Solve for x
    x = 204,158.89/502.25
  6. Step 6: Final answer
    x = 406.49

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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.