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Finding the Fourth Proportional to 546.86, 820.32 and 273.08

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Solution

The fourth proportional to 546.86, 820.32 and 273.08 is: 409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.86 : 820.32 = 273.08 : x
  2. Step 2: Convert to fraction form
    546.86/820.32 = 273.08/x
  3. Step 3: Cross multiply
    546.86x = 820.32 × 273.08
  4. Step 4: Simplify right side
    546.86x = 224,012.99
  5. Step 5: Solve for x
    x = 224,012.99/546.86
  6. Step 6: Final answer
    x = 409.63

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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.