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Finding the Fourth Proportional to 485.44, 669.80 and 288.60

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Solution

The fourth proportional to 485.44, 669.80 and 288.60 is: 398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.44 : 669.80 = 288.60 : x
  2. Step 2: Convert to fraction form
    485.44/669.80 = 288.60/x
  3. Step 3: Cross multiply
    485.44x = 669.80 × 288.60
  4. Step 4: Simplify right side
    485.44x = 193,304.28
  5. Step 5: Solve for x
    x = 193,304.28/485.44
  6. Step 6: Final answer
    x = 398.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.