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Finding the Fourth Proportional to 433.20, 596.52 and 409.17

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Solution

The fourth proportional to 433.20, 596.52 and 409.17 is: 563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.20 : 596.52 = 409.17 : x
  2. Step 2: Convert to fraction form
    433.20/596.52 = 409.17/x
  3. Step 3: Cross multiply
    433.20x = 596.52 × 409.17
  4. Step 4: Simplify right side
    433.20x = 244,078.09
  5. Step 5: Solve for x
    x = 244,078.09/433.20
  6. Step 6: Final answer
    x = 563.43

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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.