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Finding the Fourth Proportional to 338.49, 507.14 and 229.89

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Solution

The fourth proportional to 338.49, 507.14 and 229.89 is: 344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.49 : 507.14 = 229.89 : x
  2. Step 2: Convert to fraction form
    338.49/507.14 = 229.89/x
  3. Step 3: Cross multiply
    338.49x = 507.14 × 229.89
  4. Step 4: Simplify right side
    338.49x = 116,585.27
  5. Step 5: Solve for x
    x = 116,585.27/338.49
  6. Step 6: Final answer
    x = 344.43

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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.