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Finding the Fourth Proportional to 383.25, 574.05 and 280.71

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Solution

The fourth proportional to 383.25, 574.05 and 280.71 is: 420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.25 : 574.05 = 280.71 : x
  2. Step 2: Convert to fraction form
    383.25/574.05 = 280.71/x
  3. Step 3: Cross multiply
    383.25x = 574.05 × 280.71
  4. Step 4: Simplify right side
    383.25x = 161,141.58
  5. Step 5: Solve for x
    x = 161,141.58/383.25
  6. Step 6: Final answer
    x = 420.46

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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.