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Finding the Fourth Proportional to 440.52, 608.12 and 263.55

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Solution

The fourth proportional to 440.52, 608.12 and 263.55 is: 363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.52 : 608.12 = 263.55 : x
  2. Step 2: Convert to fraction form
    440.52/608.12 = 263.55/x
  3. Step 3: Cross multiply
    440.52x = 608.12 × 263.55
  4. Step 4: Simplify right side
    440.52x = 160,270.03
  5. Step 5: Solve for x
    x = 160,270.03/440.52
  6. Step 6: Final answer
    x = 363.82

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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.