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Finding the Fourth Proportional to 339.06, 508.41 and 218.19

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Solution

The fourth proportional to 339.06, 508.41 and 218.19 is: 327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.06 : 508.41 = 218.19 : x
  2. Step 2: Convert to fraction form
    339.06/508.41 = 218.19/x
  3. Step 3: Cross multiply
    339.06x = 508.41 × 218.19
  4. Step 4: Simplify right side
    339.06x = 110,929.98
  5. Step 5: Solve for x
    x = 110,929.98/339.06
  6. Step 6: Final answer
    x = 327.17

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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.