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Finding the Fourth Proportional to 418.05, 576.74 and 278.10

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Solution

The fourth proportional to 418.05, 576.74 and 278.10 is: 383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.05 : 576.74 = 278.10 : x
  2. Step 2: Convert to fraction form
    418.05/576.74 = 278.10/x
  3. Step 3: Cross multiply
    418.05x = 576.74 × 278.10
  4. Step 4: Simplify right side
    418.05x = 160,392.09
  5. Step 5: Solve for x
    x = 160,392.09/418.05
  6. Step 6: Final answer
    x = 383.67

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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.