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Finding the Fourth Proportional to 408.64, 563.93 and 233.98

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Solution

The fourth proportional to 408.64, 563.93 and 233.98 is: 322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.64 : 563.93 = 233.98 : x
  2. Step 2: Convert to fraction form
    408.64/563.93 = 233.98/x
  3. Step 3: Cross multiply
    408.64x = 563.93 × 233.98
  4. Step 4: Simplify right side
    408.64x = 131,948.34
  5. Step 5: Solve for x
    x = 131,948.34/408.64
  6. Step 6: Final answer
    x = 322.90

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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.