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Finding the Fourth Proportional to 418.02, 576.96 and 278.38

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Solution

The fourth proportional to 418.02, 576.96 and 278.38 is: 384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.02 : 576.96 = 278.38 : x
  2. Step 2: Convert to fraction form
    418.02/576.96 = 278.38/x
  3. Step 3: Cross multiply
    418.02x = 576.96 × 278.38
  4. Step 4: Simplify right side
    418.02x = 160,614.12
  5. Step 5: Solve for x
    x = 160,614.12/418.02
  6. Step 6: Final answer
    x = 384.23

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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.