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Finding the Fourth Proportional to 635.45, 876.22 and 399.13

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Solution

The fourth proportional to 635.45, 876.22 and 399.13 is: 550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.45 : 876.22 = 399.13 : x
  2. Step 2: Convert to fraction form
    635.45/876.22 = 399.13/x
  3. Step 3: Cross multiply
    635.45x = 876.22 × 399.13
  4. Step 4: Simplify right side
    635.45x = 349,722.50
  5. Step 5: Solve for x
    x = 349,722.50/635.45
  6. Step 6: Final answer
    x = 550.36

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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.