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Finding the Fourth Proportional to 337.77, 466.15 and 254.73

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Solution

The fourth proportional to 337.77, 466.15 and 254.73 is: 351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.77 : 466.15 = 254.73 : x
  2. Step 2: Convert to fraction form
    337.77/466.15 = 254.73/x
  3. Step 3: Cross multiply
    337.77x = 466.15 × 254.73
  4. Step 4: Simplify right side
    337.77x = 118,742.39
  5. Step 5: Solve for x
    x = 118,742.39/337.77
  6. Step 6: Final answer
    x = 351.55

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Why These Related Problems?

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