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Finding the Fourth Proportional to 658.16, 908.24 and 378.48

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Solution

The fourth proportional to 658.16, 908.24 and 378.48 is: 522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.16 : 908.24 = 378.48 : x
  2. Step 2: Convert to fraction form
    658.16/908.24 = 378.48/x
  3. Step 3: Cross multiply
    658.16x = 908.24 × 378.48
  4. Step 4: Simplify right side
    658.16x = 343,750.68
  5. Step 5: Solve for x
    x = 343,750.68/658.16
  6. Step 6: Final answer
    x = 522.29

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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.