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Finding the Fourth Proportional to 402.67, 556.10 and 329.23

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Solution

The fourth proportional to 402.67, 556.10 and 329.23 is: 454.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.67 : 556.10 = 329.23 : x
  2. Step 2: Convert to fraction form
    402.67/556.10 = 329.23/x
  3. Step 3: Cross multiply
    402.67x = 556.10 × 329.23
  4. Step 4: Simplify right side
    402.67x = 183,084.80
  5. Step 5: Solve for x
    x = 183,084.80/402.67
  6. Step 6: Final answer
    x = 454.68

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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.