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Finding the Fourth Proportional to 418.56, 577.44 and 280.56

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Solution

The fourth proportional to 418.56, 577.44 and 280.56 is: 387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.56 : 577.44 = 280.56 : x
  2. Step 2: Convert to fraction form
    418.56/577.44 = 280.56/x
  3. Step 3: Cross multiply
    418.56x = 577.44 × 280.56
  4. Step 4: Simplify right side
    418.56x = 162,006.57
  5. Step 5: Solve for x
    x = 162,006.57/418.56
  6. Step 6: Final answer
    x = 387.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.