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Finding the Fourth Proportional to 339.57, 508.80 and 311.21

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Solution

The fourth proportional to 339.57, 508.80 and 311.21 is: 466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.57 : 508.80 = 311.21 : x
  2. Step 2: Convert to fraction form
    339.57/508.80 = 311.21/x
  3. Step 3: Cross multiply
    339.57x = 508.80 × 311.21
  4. Step 4: Simplify right side
    339.57x = 158,342.27
  5. Step 5: Solve for x
    x = 158,342.27/339.57
  6. Step 6: Final answer
    x = 466.30

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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.