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Finding the Fourth Proportional to 339.87, 509.03 and 207.74

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Solution

The fourth proportional to 339.87, 509.03 and 207.74 is: 311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.87 : 509.03 = 207.74 : x
  2. Step 2: Convert to fraction form
    339.87/509.03 = 207.74/x
  3. Step 3: Cross multiply
    339.87x = 509.03 × 207.74
  4. Step 4: Simplify right side
    339.87x = 105,745.89
  5. Step 5: Solve for x
    x = 105,745.89/339.87
  6. Step 6: Final answer
    x = 311.14

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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.