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Finding the Fourth Proportional to 638.93, 880.83 and 442.10

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Solution

The fourth proportional to 638.93, 880.83 and 442.10 is: 609.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.93 : 880.83 = 442.10 : x
  2. Step 2: Convert to fraction form
    638.93/880.83 = 442.10/x
  3. Step 3: Cross multiply
    638.93x = 880.83 × 442.10
  4. Step 4: Simplify right side
    638.93x = 389,414.94
  5. Step 5: Solve for x
    x = 389,414.94/638.93
  6. Step 6: Final answer
    x = 609.48

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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.