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Finding the Fourth Proportional to 632.79, 873.18 and 367.17

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Solution

The fourth proportional to 632.79, 873.18 and 367.17 is: 506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.79 : 873.18 = 367.17 : x
  2. Step 2: Convert to fraction form
    632.79/873.18 = 367.17/x
  3. Step 3: Cross multiply
    632.79x = 873.18 × 367.17
  4. Step 4: Simplify right side
    632.79x = 320,605.50
  5. Step 5: Solve for x
    x = 320,605.50/632.79
  6. Step 6: Final answer
    x = 506.65

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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.