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Finding the Fourth Proportional to 378.52, 522.35 and 254.33

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Solution

The fourth proportional to 378.52, 522.35 and 254.33 is: 350.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.52 : 522.35 = 254.33 : x
  2. Step 2: Convert to fraction form
    378.52/522.35 = 254.33/x
  3. Step 3: Cross multiply
    378.52x = 522.35 × 254.33
  4. Step 4: Simplify right side
    378.52x = 132,851.22
  5. Step 5: Solve for x
    x = 132,851.22/378.52
  6. Step 6: Final answer
    x = 350.98

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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.