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Finding the Fourth Proportional to 378.63, 521.22 and 280.20

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Solution

The fourth proportional to 378.63, 521.22 and 280.20 is: 385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.63 : 521.22 = 280.20 : x
  2. Step 2: Convert to fraction form
    378.63/521.22 = 280.20/x
  3. Step 3: Cross multiply
    378.63x = 521.22 × 280.20
  4. Step 4: Simplify right side
    378.63x = 146,045.84
  5. Step 5: Solve for x
    x = 146,045.84/378.63
  6. Step 6: Final answer
    x = 385.72

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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.