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Finding the Fourth Proportional to 339.38, 506.37 and 315.82

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Solution

The fourth proportional to 339.38, 506.37 and 315.82 is: 471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.38 : 506.37 = 315.82 : x
  2. Step 2: Convert to fraction form
    339.38/506.37 = 315.82/x
  3. Step 3: Cross multiply
    339.38x = 506.37 × 315.82
  4. Step 4: Simplify right side
    339.38x = 159,917.66
  5. Step 5: Solve for x
    x = 159,917.66/339.38
  6. Step 6: Final answer
    x = 471.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.