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Finding the Fourth Proportional to 658.67, 908.93 and 378.99

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Solution

The fourth proportional to 658.67, 908.93 and 378.99 is: 522.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.67 : 908.93 = 378.99 : x
  2. Step 2: Convert to fraction form
    658.67/908.93 = 378.99/x
  3. Step 3: Cross multiply
    658.67x = 908.93 × 378.99
  4. Step 4: Simplify right side
    658.67x = 344,473.49
  5. Step 5: Solve for x
    x = 344,473.49/658.67
  6. Step 6: Final answer
    x = 522.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.