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Finding the Fourth Proportional to 366.27, 505.67 and 233.56

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Solution

The fourth proportional to 366.27, 505.67 and 233.56 is: 322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.27 : 505.67 = 233.56 : x
  2. Step 2: Convert to fraction form
    366.27/505.67 = 233.56/x
  3. Step 3: Cross multiply
    366.27x = 505.67 × 233.56
  4. Step 4: Simplify right side
    366.27x = 118,104.29
  5. Step 5: Solve for x
    x = 118,104.29/366.27
  6. Step 6: Final answer
    x = 322.45

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Why These Related Problems?

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