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Finding the Fourth Proportional to 408.34, 563.52 and 233.74

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Solution

The fourth proportional to 408.34, 563.52 and 233.74 is: 322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.34 : 563.52 = 233.74 : x
  2. Step 2: Convert to fraction form
    408.34/563.52 = 233.74/x
  3. Step 3: Cross multiply
    408.34x = 563.52 × 233.74
  4. Step 4: Simplify right side
    408.34x = 131,717.16
  5. Step 5: Solve for x
    x = 131,717.16/408.34
  6. Step 6: Final answer
    x = 322.57

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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.