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Finding the Fourth Proportional to 378.32, 522.59 and 334.13

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Solution

The fourth proportional to 378.32, 522.59 and 334.13 is: 461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.32 : 522.59 = 334.13 : x
  2. Step 2: Convert to fraction form
    378.32/522.59 = 334.13/x
  3. Step 3: Cross multiply
    378.32x = 522.59 × 334.13
  4. Step 4: Simplify right side
    378.32x = 174,608.71
  5. Step 5: Solve for x
    x = 174,608.71/378.32
  6. Step 6: Final answer
    x = 461.54

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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.