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Finding the Fourth Proportional to 382.81, 574.51 and 280.36

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Solution

The fourth proportional to 382.81, 574.51 and 280.36 is: 420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.81 : 574.51 = 280.36 : x
  2. Step 2: Convert to fraction form
    382.81/574.51 = 280.36/x
  3. Step 3: Cross multiply
    382.81x = 574.51 × 280.36
  4. Step 4: Simplify right side
    382.81x = 161,068.98
  5. Step 5: Solve for x
    x = 161,068.98/382.81
  6. Step 6: Final answer
    x = 420.76

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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.