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Finding the Fourth Proportional to 632.84, 873.42 and 367.23

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Solution

The fourth proportional to 632.84, 873.42 and 367.23 is: 506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.84 : 873.42 = 367.23 : x
  2. Step 2: Convert to fraction form
    632.84/873.42 = 367.23/x
  3. Step 3: Cross multiply
    632.84x = 873.42 × 367.23
  4. Step 4: Simplify right side
    632.84x = 320,746.03
  5. Step 5: Solve for x
    x = 320,746.03/632.84
  6. Step 6: Final answer
    x = 506.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.