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Finding the Fourth Proportional to 408.04, 563.12 and 233.40

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Solution

The fourth proportional to 408.04, 563.12 and 233.40 is: 322.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.04 : 563.12 = 233.40 : x
  2. Step 2: Convert to fraction form
    408.04/563.12 = 233.40/x
  3. Step 3: Cross multiply
    408.04x = 563.12 × 233.40
  4. Step 4: Simplify right side
    408.04x = 131,432.21
  5. Step 5: Solve for x
    x = 131,432.21/408.04
  6. Step 6: Final answer
    x = 322.11

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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.