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Finding the Fourth Proportional to 485.59, 728.28 and 192.97

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Solution

The fourth proportional to 485.59, 728.28 and 192.97 is: 289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.59 : 728.28 = 192.97 : x
  2. Step 2: Convert to fraction form
    485.59/728.28 = 192.97/x
  3. Step 3: Cross multiply
    485.59x = 728.28 × 192.97
  4. Step 4: Simplify right side
    485.59x = 140,534.56
  5. Step 5: Solve for x
    x = 140,534.56/485.59
  6. Step 6: Final answer
    x = 289.41

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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.