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Finding the Fourth Proportional to 549.24, 823.42 and 275.19

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Solution

The fourth proportional to 549.24, 823.42 and 275.19 is: 412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.24 : 823.42 = 275.19 : x
  2. Step 2: Convert to fraction form
    549.24/823.42 = 275.19/x
  3. Step 3: Cross multiply
    549.24x = 823.42 × 275.19
  4. Step 4: Simplify right side
    549.24x = 226,596.95
  5. Step 5: Solve for x
    x = 226,596.95/549.24
  6. Step 6: Final answer
    x = 412.56

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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.