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Finding the Fourth Proportional to 658.38, 908.35 and 378.54

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Solution

The fourth proportional to 658.38, 908.35 and 378.54 is: 522.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.38 : 908.35 = 378.54 : x
  2. Step 2: Convert to fraction form
    658.38/908.35 = 378.54/x
  3. Step 3: Cross multiply
    658.38x = 908.35 × 378.54
  4. Step 4: Simplify right side
    658.38x = 343,846.81
  5. Step 5: Solve for x
    x = 343,846.81/658.38
  6. Step 6: Final answer
    x = 522.26

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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.