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Finding the Fourth Proportional to 549.15, 823.92 and 275.19

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Solution

The fourth proportional to 549.15, 823.92 and 275.19 is: 412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.15 : 823.92 = 275.19 : x
  2. Step 2: Convert to fraction form
    549.15/823.92 = 275.19/x
  3. Step 3: Cross multiply
    549.15x = 823.92 × 275.19
  4. Step 4: Simplify right side
    549.15x = 226,734.54
  5. Step 5: Solve for x
    x = 226,734.54/549.15
  6. Step 6: Final answer
    x = 412.88

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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.