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Finding the Fourth Proportional to 337.64, 505.38 and 255.92

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Solution

The fourth proportional to 337.64, 505.38 and 255.92 is: 383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.64 : 505.38 = 255.92 : x
  2. Step 2: Convert to fraction form
    337.64/505.38 = 255.92/x
  3. Step 3: Cross multiply
    337.64x = 505.38 × 255.92
  4. Step 4: Simplify right side
    337.64x = 129,336.85
  5. Step 5: Solve for x
    x = 129,336.85/337.64
  6. Step 6: Final answer
    x = 383.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.