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Finding the Fourth Proportional to 485.58, 728.12 and 254.43

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Solution

The fourth proportional to 485.58, 728.12 and 254.43 is: 381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.58 : 728.12 = 254.43 : x
  2. Step 2: Convert to fraction form
    485.58/728.12 = 254.43/x
  3. Step 3: Cross multiply
    485.58x = 728.12 × 254.43
  4. Step 4: Simplify right side
    485.58x = 185,254.30
  5. Step 5: Solve for x
    x = 185,254.30/485.58
  6. Step 6: Final answer
    x = 381.51

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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.