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Finding the Fourth Proportional to 337.86, 464.97 and 264.15

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Solution

The fourth proportional to 337.86, 464.97 and 264.15 is: 363.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.86 : 464.97 = 264.15 : x
  2. Step 2: Convert to fraction form
    337.86/464.97 = 264.15/x
  3. Step 3: Cross multiply
    337.86x = 464.97 × 264.15
  4. Step 4: Simplify right side
    337.86x = 122,821.83
  5. Step 5: Solve for x
    x = 122,821.83/337.86
  6. Step 6: Final answer
    x = 363.53

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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.