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Finding the Fourth Proportional to 635.42, 876.63 and 399.27

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Solution

The fourth proportional to 635.42, 876.63 and 399.27 is: 550.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.42 : 876.63 = 399.27 : x
  2. Step 2: Convert to fraction form
    635.42/876.63 = 399.27/x
  3. Step 3: Cross multiply
    635.42x = 876.63 × 399.27
  4. Step 4: Simplify right side
    635.42x = 350,012.06
  5. Step 5: Solve for x
    x = 350,012.06/635.42
  6. Step 6: Final answer
    x = 550.84

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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.