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Finding the Fourth Proportional to 339.09, 507.69 and 229.23

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Solution

The fourth proportional to 339.09, 507.69 and 229.23 is: 343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.09 : 507.69 = 229.23 : x
  2. Step 2: Convert to fraction form
    339.09/507.69 = 229.23/x
  3. Step 3: Cross multiply
    339.09x = 507.69 × 229.23
  4. Step 4: Simplify right side
    339.09x = 116,377.78
  5. Step 5: Solve for x
    x = 116,377.78/339.09
  6. Step 6: Final answer
    x = 343.21

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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.