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Finding the Fourth Proportional to 658.14, 908.12 and 378.34

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Solution

The fourth proportional to 658.14, 908.12 and 378.34 is: 522.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.14 : 908.12 = 378.34 : x
  2. Step 2: Convert to fraction form
    658.14/908.12 = 378.34/x
  3. Step 3: Cross multiply
    658.14x = 908.12 × 378.34
  4. Step 4: Simplify right side
    658.14x = 343,578.12
  5. Step 5: Solve for x
    x = 343,578.12/658.14
  6. Step 6: Final answer
    x = 522.04

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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.