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Finding the Fourth Proportional to 546.95, 820.14 and 273.20

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Solution

The fourth proportional to 546.95, 820.14 and 273.20 is: 409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.95 : 820.14 = 273.20 : x
  2. Step 2: Convert to fraction form
    546.95/820.14 = 273.20/x
  3. Step 3: Cross multiply
    546.95x = 820.14 × 273.20
  4. Step 4: Simplify right side
    546.95x = 224,058.15
  5. Step 5: Solve for x
    x = 224,058.15/546.95
  6. Step 6: Final answer
    x = 409.65

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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.