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Finding the Fourth Proportional to 638.21, 880.43 and 402.05

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Solution

The fourth proportional to 638.21, 880.43 and 402.05 is: 554.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.21 : 880.43 = 402.05 : x
  2. Step 2: Convert to fraction form
    638.21/880.43 = 402.05/x
  3. Step 3: Cross multiply
    638.21x = 880.43 × 402.05
  4. Step 4: Simplify right side
    638.21x = 353,976.88
  5. Step 5: Solve for x
    x = 353,976.88/638.21
  6. Step 6: Final answer
    x = 554.64

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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.