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Finding the Fourth Proportional to 658.26, 908.34 and 378.54

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Solution

The fourth proportional to 658.26, 908.34 and 378.54 is: 522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.26 : 908.34 = 378.54 : x
  2. Step 2: Convert to fraction form
    658.26/908.34 = 378.54/x
  3. Step 3: Cross multiply
    658.26x = 908.34 × 378.54
  4. Step 4: Simplify right side
    658.26x = 343,843.02
  5. Step 5: Solve for x
    x = 343,843.02/658.26
  6. Step 6: Final answer
    x = 522.35

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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.