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Finding the Fourth Proportional to 366.69, 506.20 and 234.09

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Solution

The fourth proportional to 366.69, 506.20 and 234.09 is: 323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.69 : 506.20 = 234.09 : x
  2. Step 2: Convert to fraction form
    366.69/506.20 = 234.09/x
  3. Step 3: Cross multiply
    366.69x = 506.20 × 234.09
  4. Step 4: Simplify right side
    366.69x = 118,495.77
  5. Step 5: Solve for x
    x = 118,495.77/366.69
  6. Step 6: Final answer
    x = 323.15

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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.