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Finding the Fourth Proportional to 354.20, 488.66 and 254.64

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Solution

The fourth proportional to 354.20, 488.66 and 254.64 is: 351.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.20 : 488.66 = 254.64 : x
  2. Step 2: Convert to fraction form
    354.20/488.66 = 254.64/x
  3. Step 3: Cross multiply
    354.20x = 488.66 × 254.64
  4. Step 4: Simplify right side
    354.20x = 124,432.38
  5. Step 5: Solve for x
    x = 124,432.38/354.20
  6. Step 6: Final answer
    x = 351.31

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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.