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Finding the Fourth Proportional to 382.27, 572.73 and 260.77

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Solution

The fourth proportional to 382.27, 572.73 and 260.77 is: 390.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.27 : 572.73 = 260.77 : x
  2. Step 2: Convert to fraction form
    382.27/572.73 = 260.77/x
  3. Step 3: Cross multiply
    382.27x = 572.73 × 260.77
  4. Step 4: Simplify right side
    382.27x = 149,350.80
  5. Step 5: Solve for x
    x = 149,350.80/382.27
  6. Step 6: Final answer
    x = 390.69

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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.