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Finding the Fourth Proportional to 382.85, 573.63 and 280.18

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Solution

The fourth proportional to 382.85, 573.63 and 280.18 is: 419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.85 : 573.63 = 280.18 : x
  2. Step 2: Convert to fraction form
    382.85/573.63 = 280.18/x
  3. Step 3: Cross multiply
    382.85x = 573.63 × 280.18
  4. Step 4: Simplify right side
    382.85x = 160,719.65
  5. Step 5: Solve for x
    x = 160,719.65/382.85
  6. Step 6: Final answer
    x = 419.80

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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.