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Finding the Fourth Proportional to 418.25, 576.61 and 278.37

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Solution

The fourth proportional to 418.25, 576.61 and 278.37 is: 383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.25 : 576.61 = 278.37 : x
  2. Step 2: Convert to fraction form
    418.25/576.61 = 278.37/x
  3. Step 3: Cross multiply
    418.25x = 576.61 × 278.37
  4. Step 4: Simplify right side
    418.25x = 160,510.93
  5. Step 5: Solve for x
    x = 160,510.93/418.25
  6. Step 6: Final answer
    x = 383.77

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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.