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Finding the Fourth Proportional to 339.96, 507.86 and 271.61

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Solution

The fourth proportional to 339.96, 507.86 and 271.61 is: 405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.96 : 507.86 = 271.61 : x
  2. Step 2: Convert to fraction form
    339.96/507.86 = 271.61/x
  3. Step 3: Cross multiply
    339.96x = 507.86 × 271.61
  4. Step 4: Simplify right side
    339.96x = 137,939.85
  5. Step 5: Solve for x
    x = 137,939.85/339.96
  6. Step 6: Final answer
    x = 405.75

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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.