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Finding the Fourth Proportional to 485.77, 729.11 and 254.82

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Solution

The fourth proportional to 485.77, 729.11 and 254.82 is: 382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.77 : 729.11 = 254.82 : x
  2. Step 2: Convert to fraction form
    485.77/729.11 = 254.82/x
  3. Step 3: Cross multiply
    485.77x = 729.11 × 254.82
  4. Step 4: Simplify right side
    485.77x = 185,791.81
  5. Step 5: Solve for x
    x = 185,791.81/485.77
  6. Step 6: Final answer
    x = 382.47

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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.