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Finding the Fourth Proportional to 485.60, 728.49 and 254.42

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Solution

The fourth proportional to 485.60, 728.49 and 254.42 is: 381.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.60 : 728.49 = 254.42 : x
  2. Step 2: Convert to fraction form
    485.60/728.49 = 254.42/x
  3. Step 3: Cross multiply
    485.60x = 728.49 × 254.42
  4. Step 4: Simplify right side
    485.60x = 185,343.61
  5. Step 5: Solve for x
    x = 185,343.61/485.60
  6. Step 6: Final answer
    x = 381.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.