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Finding the Fourth Proportional to 395.74, 592.89 and 212.95

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Solution

The fourth proportional to 395.74, 592.89 and 212.95 is: 319.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.74 : 592.89 = 212.95 : x
  2. Step 2: Convert to fraction form
    395.74/592.89 = 212.95/x
  3. Step 3: Cross multiply
    395.74x = 592.89 × 212.95
  4. Step 4: Simplify right side
    395.74x = 126,255.93
  5. Step 5: Solve for x
    x = 126,255.93/395.74
  6. Step 6: Final answer
    x = 319.04

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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.