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Finding the Fourth Proportional to 418.14, 576.02 and 293.55

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Solution

The fourth proportional to 418.14, 576.02 and 293.55 is: 404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.14 : 576.02 = 293.55 : x
  2. Step 2: Convert to fraction form
    418.14/576.02 = 293.55/x
  3. Step 3: Cross multiply
    418.14x = 576.02 × 293.55
  4. Step 4: Simplify right side
    418.14x = 169,089.20
  5. Step 5: Solve for x
    x = 169,089.20/418.14
  6. Step 6: Final answer
    x = 404.38

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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.