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Finding the Fourth Proportional to 339.78, 508.96 and 270.93

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Solution

The fourth proportional to 339.78, 508.96 and 270.93 is: 405.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.78 : 508.96 = 270.93 : x
  2. Step 2: Convert to fraction form
    339.78/508.96 = 270.93/x
  3. Step 3: Cross multiply
    339.78x = 508.96 × 270.93
  4. Step 4: Simplify right side
    339.78x = 137,892.53
  5. Step 5: Solve for x
    x = 137,892.53/339.78
  6. Step 6: Final answer
    x = 405.83

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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.