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Finding the Fourth Proportional to 440.71, 608.25 and 254.16

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Solution

The fourth proportional to 440.71, 608.25 and 254.16 is: 350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.71 : 608.25 = 254.16 : x
  2. Step 2: Convert to fraction form
    440.71/608.25 = 254.16/x
  3. Step 3: Cross multiply
    440.71x = 608.25 × 254.16
  4. Step 4: Simplify right side
    440.71x = 154,593.91
  5. Step 5: Solve for x
    x = 154,593.91/440.71
  6. Step 6: Final answer
    x = 350.78

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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.