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Finding the Fourth Proportional to 640.53, 884.03 and 378.67

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Solution

The fourth proportional to 640.53, 884.03 and 378.67 is: 522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.53 : 884.03 = 378.67 : x
  2. Step 2: Convert to fraction form
    640.53/884.03 = 378.67/x
  3. Step 3: Cross multiply
    640.53x = 884.03 × 378.67
  4. Step 4: Simplify right side
    640.53x = 334,755.64
  5. Step 5: Solve for x
    x = 334,755.64/640.53
  6. Step 6: Final answer
    x = 522.62

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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.