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Finding the Fourth Proportional to 392.07, 587.34 and 209.22

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Solution

The fourth proportional to 392.07, 587.34 and 209.22 is: 313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.07 : 587.34 = 209.22 : x
  2. Step 2: Convert to fraction form
    392.07/587.34 = 209.22/x
  3. Step 3: Cross multiply
    392.07x = 587.34 × 209.22
  4. Step 4: Simplify right side
    392.07x = 122,883.27
  5. Step 5: Solve for x
    x = 122,883.27/392.07
  6. Step 6: Final answer
    x = 313.42

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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.