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Finding the Fourth Proportional to 658.36, 908.42 and 378.60

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Solution

The fourth proportional to 658.36, 908.42 and 378.60 is: 522.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.36 : 908.42 = 378.60 : x
  2. Step 2: Convert to fraction form
    658.36/908.42 = 378.60/x
  3. Step 3: Cross multiply
    658.36x = 908.42 × 378.60
  4. Step 4: Simplify right side
    658.36x = 343,925.92
  5. Step 5: Solve for x
    x = 343,925.92/658.36
  6. Step 6: Final answer
    x = 522.40

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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.