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Finding the Fourth Proportional to 408.51, 563.74 and 233.84

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Solution

The fourth proportional to 408.51, 563.74 and 233.84 is: 322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.51 : 563.74 = 233.84 : x
  2. Step 2: Convert to fraction form
    408.51/563.74 = 233.84/x
  3. Step 3: Cross multiply
    408.51x = 563.74 × 233.84
  4. Step 4: Simplify right side
    408.51x = 131,825.91
  5. Step 5: Solve for x
    x = 131,825.91/408.51
  6. Step 6: Final answer
    x = 322.70

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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.