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Finding the Fourth Proportional to 339.57, 508.69 and 223.66

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Solution

The fourth proportional to 339.57, 508.69 and 223.66 is: 335.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.57 : 508.69 = 223.66 : x
  2. Step 2: Convert to fraction form
    339.57/508.69 = 223.66/x
  3. Step 3: Cross multiply
    339.57x = 508.69 × 223.66
  4. Step 4: Simplify right side
    339.57x = 113,774.69
  5. Step 5: Solve for x
    x = 113,774.69/339.57
  6. Step 6: Final answer
    x = 335.06

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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.