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Finding the Fourth Proportional to 301.95, 414.02 and 294.66

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Solution

The fourth proportional to 301.95, 414.02 and 294.66 is: 404.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.95 : 414.02 = 294.66 : x
  2. Step 2: Convert to fraction form
    301.95/414.02 = 294.66/x
  3. Step 3: Cross multiply
    301.95x = 414.02 × 294.66
  4. Step 4: Simplify right side
    301.95x = 121,995.87
  5. Step 5: Solve for x
    x = 121,995.87/301.95
  6. Step 6: Final answer
    x = 404.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.