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Finding the Fourth Proportional to 339.93, 509.17 and 209.62

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Solution

The fourth proportional to 339.93, 509.17 and 209.62 is: 313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.93 : 509.17 = 209.62 : x
  2. Step 2: Convert to fraction form
    339.93/509.17 = 209.62/x
  3. Step 3: Cross multiply
    339.93x = 509.17 × 209.62
  4. Step 4: Simplify right side
    339.93x = 106,732.72
  5. Step 5: Solve for x
    x = 106,732.72/339.93
  6. Step 6: Final answer
    x = 313.98

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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.