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Finding the Fourth Proportional to 638.09, 880.14 and 385.95

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Solution

The fourth proportional to 638.09, 880.14 and 385.95 is: 532.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.09 : 880.14 = 385.95 : x
  2. Step 2: Convert to fraction form
    638.09/880.14 = 385.95/x
  3. Step 3: Cross multiply
    638.09x = 880.14 × 385.95
  4. Step 4: Simplify right side
    638.09x = 339,690.03
  5. Step 5: Solve for x
    x = 339,690.03/638.09
  6. Step 6: Final answer
    x = 532.35

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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.