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Finding the Fourth Proportional to 658.42, 908.32 and 396.28

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Solution

The fourth proportional to 658.42, 908.32 and 396.28 is: 546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.42 : 908.32 = 396.28 : x
  2. Step 2: Convert to fraction form
    658.42/908.32 = 396.28/x
  3. Step 3: Cross multiply
    658.42x = 908.32 × 396.28
  4. Step 4: Simplify right side
    658.42x = 359,949.05
  5. Step 5: Solve for x
    x = 359,949.05/658.42
  6. Step 6: Final answer
    x = 546.69

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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.