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Finding the Fourth Proportional to 418.10, 576.79 and 278.27

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Solution

The fourth proportional to 418.10, 576.79 and 278.27 is: 383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.10 : 576.79 = 278.27 : x
  2. Step 2: Convert to fraction form
    418.10/576.79 = 278.27/x
  3. Step 3: Cross multiply
    418.10x = 576.79 × 278.27
  4. Step 4: Simplify right side
    418.10x = 160,501.94
  5. Step 5: Solve for x
    x = 160,501.94/418.10
  6. Step 6: Final answer
    x = 383.89

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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.