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Finding the Fourth Proportional to 598.28, 825.23 and 399.11

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Solution

The fourth proportional to 598.28, 825.23 and 399.11 is: 550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.28 : 825.23 = 399.11 : x
  2. Step 2: Convert to fraction form
    598.28/825.23 = 399.11/x
  3. Step 3: Cross multiply
    598.28x = 825.23 × 399.11
  4. Step 4: Simplify right side
    598.28x = 329,351.42
  5. Step 5: Solve for x
    x = 329,351.42/598.28
  6. Step 6: Final answer
    x = 550.50

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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.