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Finding the Fourth Proportional to 338.50, 509.19 and 308.98

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Solution

The fourth proportional to 338.50, 509.19 and 308.98 is: 464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.50 : 509.19 = 308.98 : x
  2. Step 2: Convert to fraction form
    338.50/509.19 = 308.98/x
  3. Step 3: Cross multiply
    338.50x = 509.19 × 308.98
  4. Step 4: Simplify right side
    338.50x = 157,329.53
  5. Step 5: Solve for x
    x = 157,329.53/338.50
  6. Step 6: Final answer
    x = 464.78

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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.