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Finding the Fourth Proportional to 382.15, 573.27 and 280.09

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Solution

The fourth proportional to 382.15, 573.27 and 280.09 is: 420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.15 : 573.27 = 280.09 : x
  2. Step 2: Convert to fraction form
    382.15/573.27 = 280.09/x
  3. Step 3: Cross multiply
    382.15x = 573.27 × 280.09
  4. Step 4: Simplify right side
    382.15x = 160,562.93
  5. Step 5: Solve for x
    x = 160,562.93/382.15
  6. Step 6: Final answer
    x = 420.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.