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Finding the Fourth Proportional to 485.46, 728.33 and 160.79

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Solution

The fourth proportional to 485.46, 728.33 and 160.79 is: 241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.46 : 728.33 = 160.79 : x
  2. Step 2: Convert to fraction form
    485.46/728.33 = 160.79/x
  3. Step 3: Cross multiply
    485.46x = 728.33 × 160.79
  4. Step 4: Simplify right side
    485.46x = 117,103.74
  5. Step 5: Solve for x
    x = 117,103.74/485.46
  6. Step 6: Final answer
    x = 241.22

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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.