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Finding the Fourth Proportional to 440.97, 608.27 and 283.81

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Solution

The fourth proportional to 440.97, 608.27 and 283.81 is: 391.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.97 : 608.27 = 283.81 : x
  2. Step 2: Convert to fraction form
    440.97/608.27 = 283.81/x
  3. Step 3: Cross multiply
    440.97x = 608.27 × 283.81
  4. Step 4: Simplify right side
    440.97x = 172,632.98
  5. Step 5: Solve for x
    x = 172,632.98/440.97
  6. Step 6: Final answer
    x = 391.48

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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.