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Finding the Fourth Proportional to 392.97, 590.27 and 301.35

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Solution

The fourth proportional to 392.97, 590.27 and 301.35 is: 452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.97 : 590.27 = 301.35 : x
  2. Step 2: Convert to fraction form
    392.97/590.27 = 301.35/x
  3. Step 3: Cross multiply
    392.97x = 590.27 × 301.35
  4. Step 4: Simplify right side
    392.97x = 177,876.36
  5. Step 5: Solve for x
    x = 177,876.36/392.97
  6. Step 6: Final answer
    x = 452.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.