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Finding the Fourth Proportional to 640.56, 884.10 and 378.66

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Solution

The fourth proportional to 640.56, 884.10 and 378.66 is: 522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.56 : 884.10 = 378.66 : x
  2. Step 2: Convert to fraction form
    640.56/884.10 = 378.66/x
  3. Step 3: Cross multiply
    640.56x = 884.10 × 378.66
  4. Step 4: Simplify right side
    640.56x = 334,773.31
  5. Step 5: Solve for x
    x = 334,773.31/640.56
  6. Step 6: Final answer
    x = 522.63

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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.