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Finding the Fourth Proportional to 632.83, 873.17 and 367.32

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Solution

The fourth proportional to 632.83, 873.17 and 367.32 is: 506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.83 : 873.17 = 367.32 : x
  2. Step 2: Convert to fraction form
    632.83/873.17 = 367.32/x
  3. Step 3: Cross multiply
    632.83x = 873.17 × 367.32
  4. Step 4: Simplify right side
    632.83x = 320,732.80
  5. Step 5: Solve for x
    x = 320,732.80/632.83
  6. Step 6: Final answer
    x = 506.82

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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.