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Finding the Fourth Proportional to 339.08, 506.27 and 269.82

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Solution

The fourth proportional to 339.08, 506.27 and 269.82 is: 402.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.08 : 506.27 = 269.82 : x
  2. Step 2: Convert to fraction form
    339.08/506.27 = 269.82/x
  3. Step 3: Cross multiply
    339.08x = 506.27 × 269.82
  4. Step 4: Simplify right side
    339.08x = 136,602.45
  5. Step 5: Solve for x
    x = 136,602.45/339.08
  6. Step 6: Final answer
    x = 402.87

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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.