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Finding the Fourth Proportional to 339.14, 508.17 and 270.64

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Solution

The fourth proportional to 339.14, 508.17 and 270.64 is: 405.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.14 : 508.17 = 270.64 : x
  2. Step 2: Convert to fraction form
    339.14/508.17 = 270.64/x
  3. Step 3: Cross multiply
    339.14x = 508.17 × 270.64
  4. Step 4: Simplify right side
    339.14x = 137,532.78
  5. Step 5: Solve for x
    x = 137,532.78/339.14
  6. Step 6: Final answer
    x = 405.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.