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Finding the Fourth Proportional to 440.20, 606.92 and 282.55

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Solution

The fourth proportional to 440.20, 606.92 and 282.55 is: 389.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.20 : 606.92 = 282.55 : x
  2. Step 2: Convert to fraction form
    440.20/606.92 = 282.55/x
  3. Step 3: Cross multiply
    440.20x = 606.92 × 282.55
  4. Step 4: Simplify right side
    440.20x = 171,487.47
  5. Step 5: Solve for x
    x = 171,487.47/440.20
  6. Step 6: Final answer
    x = 389.57

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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.