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Finding the Fourth Proportional to 340.24, 506.50 and 338.42

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Solution

The fourth proportional to 340.24, 506.50 and 338.42 is: 503.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.24 : 506.50 = 338.42 : x
  2. Step 2: Convert to fraction form
    340.24/506.50 = 338.42/x
  3. Step 3: Cross multiply
    340.24x = 506.50 × 338.42
  4. Step 4: Simplify right side
    340.24x = 171,409.73
  5. Step 5: Solve for x
    x = 171,409.73/340.24
  6. Step 6: Final answer
    x = 503.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.