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Finding the Fourth Proportional to 658.36, 908.49 and 396.28

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Solution

The fourth proportional to 658.36, 908.49 and 396.28 is: 546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.36 : 908.49 = 396.28 : x
  2. Step 2: Convert to fraction form
    658.36/908.49 = 396.28/x
  3. Step 3: Cross multiply
    658.36x = 908.49 × 396.28
  4. Step 4: Simplify right side
    658.36x = 360,016.42
  5. Step 5: Solve for x
    x = 360,016.42/658.36
  6. Step 6: Final answer
    x = 546.84

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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.