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Finding the Fourth Proportional to 337.92, 466.44 and 264.74

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Solution

The fourth proportional to 337.92, 466.44 and 264.74 is: 365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.92 : 466.44 = 264.74 : x
  2. Step 2: Convert to fraction form
    337.92/466.44 = 264.74/x
  3. Step 3: Cross multiply
    337.92x = 466.44 × 264.74
  4. Step 4: Simplify right side
    337.92x = 123,485.33
  5. Step 5: Solve for x
    x = 123,485.33/337.92
  6. Step 6: Final answer
    x = 365.43

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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.