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Finding the Fourth Proportional to 440.92, 608.37 and 266.23

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Solution

The fourth proportional to 440.92, 608.37 and 266.23 is: 367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.92 : 608.37 = 266.23 : x
  2. Step 2: Convert to fraction form
    440.92/608.37 = 266.23/x
  3. Step 3: Cross multiply
    440.92x = 608.37 × 266.23
  4. Step 4: Simplify right side
    440.92x = 161,963.30
  5. Step 5: Solve for x
    x = 161,963.30/440.92
  6. Step 6: Final answer
    x = 367.33

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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.