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Finding the Fourth Proportional to 337.42, 506.49 and 175.24

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Solution

The fourth proportional to 337.42, 506.49 and 175.24 is: 263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.42 : 506.49 = 175.24 : x
  2. Step 2: Convert to fraction form
    337.42/506.49 = 175.24/x
  3. Step 3: Cross multiply
    337.42x = 506.49 × 175.24
  4. Step 4: Simplify right side
    337.42x = 88,757.31
  5. Step 5: Solve for x
    x = 88,757.31/337.42
  6. Step 6: Final answer
    x = 263.05

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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.