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Finding the Fourth Proportional to 378.68, 521.54 and 280.26

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Solution

The fourth proportional to 378.68, 521.54 and 280.26 is: 385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.68 : 521.54 = 280.26 : x
  2. Step 2: Convert to fraction form
    378.68/521.54 = 280.26/x
  3. Step 3: Cross multiply
    378.68x = 521.54 × 280.26
  4. Step 4: Simplify right side
    378.68x = 146,166.45
  5. Step 5: Solve for x
    x = 146,166.45/378.68
  6. Step 6: Final answer
    x = 385.99

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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.