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Finding the Fourth Proportional to 378.18, 522.32 and 334.44

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Solution

The fourth proportional to 378.18, 522.32 and 334.44 is: 461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.18 : 522.32 = 334.44 : x
  2. Step 2: Convert to fraction form
    378.18/522.32 = 334.44/x
  3. Step 3: Cross multiply
    378.18x = 522.32 × 334.44
  4. Step 4: Simplify right side
    378.18x = 174,685.54
  5. Step 5: Solve for x
    x = 174,685.54/378.18
  6. Step 6: Final answer
    x = 461.91

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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.