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Finding the Fourth Proportional to 337.68, 463.48 and 323.60

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Solution

The fourth proportional to 337.68, 463.48 and 323.60 is: 444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.68 : 463.48 = 323.60 : x
  2. Step 2: Convert to fraction form
    337.68/463.48 = 323.60/x
  3. Step 3: Cross multiply
    337.68x = 463.48 × 323.60
  4. Step 4: Simplify right side
    337.68x = 149,982.13
  5. Step 5: Solve for x
    x = 149,982.13/337.68
  6. Step 6: Final answer
    x = 444.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.