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Finding the Fourth Proportional to 392.26, 588.45 and 209.74

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Solution

The fourth proportional to 392.26, 588.45 and 209.74 is: 314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.26 : 588.45 = 209.74 : x
  2. Step 2: Convert to fraction form
    392.26/588.45 = 209.74/x
  3. Step 3: Cross multiply
    392.26x = 588.45 × 209.74
  4. Step 4: Simplify right side
    392.26x = 123,421.50
  5. Step 5: Solve for x
    x = 123,421.50/392.26
  6. Step 6: Final answer
    x = 314.64

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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.