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Finding the Fourth Proportional to 632.08, 871.86 and 399.07

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Solution

The fourth proportional to 632.08, 871.86 and 399.07 is: 550.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.08 : 871.86 = 399.07 : x
  2. Step 2: Convert to fraction form
    632.08/871.86 = 399.07/x
  3. Step 3: Cross multiply
    632.08x = 871.86 × 399.07
  4. Step 4: Simplify right side
    632.08x = 347,933.17
  5. Step 5: Solve for x
    x = 347,933.17/632.08
  6. Step 6: Final answer
    x = 550.46

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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.