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Finding the Fourth Proportional to 339.60, 508.86 and 271.56

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Solution

The fourth proportional to 339.60, 508.86 and 271.56 is: 406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.60 : 508.86 = 271.56 : x
  2. Step 2: Convert to fraction form
    339.60/508.86 = 271.56/x
  3. Step 3: Cross multiply
    339.60x = 508.86 × 271.56
  4. Step 4: Simplify right side
    339.60x = 138,186.02
  5. Step 5: Solve for x
    x = 138,186.02/339.60
  6. Step 6: Final answer
    x = 406.91

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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.