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Finding the Fourth Proportional to 640.24, 883.71 and 378.41

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Solution

The fourth proportional to 640.24, 883.71 and 378.41 is: 522.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.24 : 883.71 = 378.41 : x
  2. Step 2: Convert to fraction form
    640.24/883.71 = 378.41/x
  3. Step 3: Cross multiply
    640.24x = 883.71 × 378.41
  4. Step 4: Simplify right side
    640.24x = 334,400.28
  5. Step 5: Solve for x
    x = 334,400.28/640.24
  6. Step 6: Final answer
    x = 522.31

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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.