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Finding the Fourth Proportional to 378.07, 522.25 and 280.26

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Solution

The fourth proportional to 378.07, 522.25 and 280.26 is: 387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.07 : 522.25 = 280.26 : x
  2. Step 2: Convert to fraction form
    378.07/522.25 = 280.26/x
  3. Step 3: Cross multiply
    378.07x = 522.25 × 280.26
  4. Step 4: Simplify right side
    378.07x = 146,365.08
  5. Step 5: Solve for x
    x = 146,365.08/378.07
  6. Step 6: Final answer
    x = 387.14

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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.