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Finding the Fourth Proportional to 658.63, 908.84 and 378.84

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Solution

The fourth proportional to 658.63, 908.84 and 378.84 is: 522.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.63 : 908.84 = 378.84 : x
  2. Step 2: Convert to fraction form
    658.63/908.84 = 378.84/x
  3. Step 3: Cross multiply
    658.63x = 908.84 × 378.84
  4. Step 4: Simplify right side
    658.63x = 344,303.05
  5. Step 5: Solve for x
    x = 344,303.05/658.63
  6. Step 6: Final answer
    x = 522.76

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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.