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Finding the Fourth Proportional to 638.26, 880.82 and 452.08

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Solution

The fourth proportional to 638.26, 880.82 and 452.08 is: 623.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.26 : 880.82 = 452.08 : x
  2. Step 2: Convert to fraction form
    638.26/880.82 = 452.08/x
  3. Step 3: Cross multiply
    638.26x = 880.82 × 452.08
  4. Step 4: Simplify right side
    638.26x = 398,201.11
  5. Step 5: Solve for x
    x = 398,201.11/638.26
  6. Step 6: Final answer
    x = 623.89

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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.