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Finding the Fourth Proportional to 658.06, 908 and 396

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Solution

The fourth proportional to 658.06, 908 and 396 is: 546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.06 : 908 = 396 : x
  2. Step 2: Convert to fraction form
    658.06/908 = 396/x
  3. Step 3: Cross multiply
    658.06x = 908 × 396
  4. Step 4: Simplify right side
    658.06x = 359,568
  5. Step 5: Solve for x
    x = 359,568/658.06
  6. Step 6: Final answer
    x = 546.41

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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.