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Finding the Fourth Proportional to 658.24, 908.24 and 378.44

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Solution

The fourth proportional to 658.24, 908.24 and 378.44 is: 522.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.24 : 908.24 = 378.44 : x
  2. Step 2: Convert to fraction form
    658.24/908.24 = 378.44/x
  3. Step 3: Cross multiply
    658.24x = 908.24 × 378.44
  4. Step 4: Simplify right side
    658.24x = 343,714.35
  5. Step 5: Solve for x
    x = 343,714.35/658.24
  6. Step 6: Final answer
    x = 522.17

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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.