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Finding the Fourth Proportional to 418.32, 576.83 and 278.46

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Solution

The fourth proportional to 418.32, 576.83 and 278.46 is: 383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.32 : 576.83 = 278.46 : x
  2. Step 2: Convert to fraction form
    418.32/576.83 = 278.46/x
  3. Step 3: Cross multiply
    418.32x = 576.83 × 278.46
  4. Step 4: Simplify right side
    418.32x = 160,622.69
  5. Step 5: Solve for x
    x = 160,622.69/418.32
  6. Step 6: Final answer
    x = 383.97

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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.