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Finding the Fourth Proportional to 378.39, 522.17 and 268.05

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Solution

The fourth proportional to 378.39, 522.17 and 268.05 is: 369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.39 : 522.17 = 268.05 : x
  2. Step 2: Convert to fraction form
    378.39/522.17 = 268.05/x
  3. Step 3: Cross multiply
    378.39x = 522.17 × 268.05
  4. Step 4: Simplify right side
    378.39x = 139,966.33
  5. Step 5: Solve for x
    x = 139,966.33/378.39
  6. Step 6: Final answer
    x = 369.90

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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.