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Finding the Fourth Proportional to 485.78, 728.69 and 211.82

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Solution

The fourth proportional to 485.78, 728.69 and 211.82 is: 317.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.78 : 728.69 = 211.82 : x
  2. Step 2: Convert to fraction form
    485.78/728.69 = 211.82/x
  3. Step 3: Cross multiply
    485.78x = 728.69 × 211.82
  4. Step 4: Simplify right side
    485.78x = 154,346.41
  5. Step 5: Solve for x
    x = 154,346.41/485.78
  6. Step 6: Final answer
    x = 317.73

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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.