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Finding the Fourth Proportional to 337.48, 463.64 and 323.20

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Solution

The fourth proportional to 337.48, 463.64 and 323.20 is: 444.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.48 : 463.64 = 323.20 : x
  2. Step 2: Convert to fraction form
    337.48/463.64 = 323.20/x
  3. Step 3: Cross multiply
    337.48x = 463.64 × 323.20
  4. Step 4: Simplify right side
    337.48x = 149,848.45
  5. Step 5: Solve for x
    x = 149,848.45/337.48
  6. Step 6: Final answer
    x = 444.02

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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.