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Finding the Fourth Proportional to 412.56, 617.67 and 322.31

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Solution

The fourth proportional to 412.56, 617.67 and 322.31 is: 482.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.56 : 617.67 = 322.31 : x
  2. Step 2: Convert to fraction form
    412.56/617.67 = 322.31/x
  3. Step 3: Cross multiply
    412.56x = 617.67 × 322.31
  4. Step 4: Simplify right side
    412.56x = 199,078.13
  5. Step 5: Solve for x
    x = 199,078.13/412.56
  6. Step 6: Final answer
    x = 482.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.