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Finding the Fourth Proportional to 549.39, 824.09 and 275.21

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Solution

The fourth proportional to 549.39, 824.09 and 275.21 is: 412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.39 : 824.09 = 275.21 : x
  2. Step 2: Convert to fraction form
    549.39/824.09 = 275.21/x
  3. Step 3: Cross multiply
    549.39x = 824.09 × 275.21
  4. Step 4: Simplify right side
    549.39x = 226,797.81
  5. Step 5: Solve for x
    x = 226,797.81/549.39
  6. Step 6: Final answer
    x = 412.82

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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.