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Finding the Fourth Proportional to 339.67, 509.66 and 209.87

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Solution

The fourth proportional to 339.67, 509.66 and 209.87 is: 314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.67 : 509.66 = 209.87 : x
  2. Step 2: Convert to fraction form
    339.67/509.66 = 209.87/x
  3. Step 3: Cross multiply
    339.67x = 509.66 × 209.87
  4. Step 4: Simplify right side
    339.67x = 106,962.34
  5. Step 5: Solve for x
    x = 106,962.34/339.67
  6. Step 6: Final answer
    x = 314.90

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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.