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Finding the Fourth Proportional to 402.80, 556.04 and 329.90

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Solution

The fourth proportional to 402.80, 556.04 and 329.90 is: 455.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.80 : 556.04 = 329.90 : x
  2. Step 2: Convert to fraction form
    402.80/556.04 = 329.90/x
  3. Step 3: Cross multiply
    402.80x = 556.04 × 329.90
  4. Step 4: Simplify right side
    402.80x = 183,435.64
  5. Step 5: Solve for x
    x = 183,435.64/402.80
  6. Step 6: Final answer
    x = 455.41

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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.