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Finding the Fourth Proportional to 378.58, 521.96 and 254.04

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Solution

The fourth proportional to 378.58, 521.96 and 254.04 is: 350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.58 : 521.96 = 254.04 : x
  2. Step 2: Convert to fraction form
    378.58/521.96 = 254.04/x
  3. Step 3: Cross multiply
    378.58x = 521.96 × 254.04
  4. Step 4: Simplify right side
    378.58x = 132,597.45
  5. Step 5: Solve for x
    x = 132,597.45/378.58
  6. Step 6: Final answer
    x = 350.25

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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.