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Finding the Fourth Proportional to 640.45, 883.78 and 378.55

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Solution

The fourth proportional to 640.45, 883.78 and 378.55 is: 522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.45 : 883.78 = 378.55 : x
  2. Step 2: Convert to fraction form
    640.45/883.78 = 378.55/x
  3. Step 3: Cross multiply
    640.45x = 883.78 × 378.55
  4. Step 4: Simplify right side
    640.45x = 334,554.92
  5. Step 5: Solve for x
    x = 334,554.92/640.45
  6. Step 6: Final answer
    x = 522.37

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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.