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Finding the Fourth Proportional to 546.75, 820.39 and 272.87

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Solution

The fourth proportional to 546.75, 820.39 and 272.87 is: 409.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.75 : 820.39 = 272.87 : x
  2. Step 2: Convert to fraction form
    546.75/820.39 = 272.87/x
  3. Step 3: Cross multiply
    546.75x = 820.39 × 272.87
  4. Step 4: Simplify right side
    546.75x = 223,859.82
  5. Step 5: Solve for x
    x = 223,859.82/546.75
  6. Step 6: Final answer
    x = 409.44

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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.