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Finding the Fourth Proportional to 437.20, 601.92 and 337.36

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Solution

The fourth proportional to 437.20, 601.92 and 337.36 is: 464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.20 : 601.92 = 337.36 : x
  2. Step 2: Convert to fraction form
    437.20/601.92 = 337.36/x
  3. Step 3: Cross multiply
    437.20x = 601.92 × 337.36
  4. Step 4: Simplify right side
    437.20x = 203,063.73
  5. Step 5: Solve for x
    x = 203,063.73/437.20
  6. Step 6: Final answer
    x = 464.46

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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.