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Finding the Fourth Proportional to 376.24, 563.32 and 324.08

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Solution

The fourth proportional to 376.24, 563.32 and 324.08 is: 485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.24 : 563.32 = 324.08 : x
  2. Step 2: Convert to fraction form
    376.24/563.32 = 324.08/x
  3. Step 3: Cross multiply
    376.24x = 563.32 × 324.08
  4. Step 4: Simplify right side
    376.24x = 182,560.75
  5. Step 5: Solve for x
    x = 182,560.75/376.24
  6. Step 6: Final answer
    x = 485.22

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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.