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Finding the Fourth Proportional to 366.74, 506.19 and 235.73

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Solution

The fourth proportional to 366.74, 506.19 and 235.73 is: 325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.74 : 506.19 = 235.73 : x
  2. Step 2: Convert to fraction form
    366.74/506.19 = 235.73/x
  3. Step 3: Cross multiply
    366.74x = 506.19 × 235.73
  4. Step 4: Simplify right side
    366.74x = 119,324.17
  5. Step 5: Solve for x
    x = 119,324.17/366.74
  6. Step 6: Final answer
    x = 325.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.