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Finding the Fourth Proportional to 383.03, 574.24 and 209.74

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Solution

The fourth proportional to 383.03, 574.24 and 209.74 is: 314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.03 : 574.24 = 209.74 : x
  2. Step 2: Convert to fraction form
    383.03/574.24 = 209.74/x
  3. Step 3: Cross multiply
    383.03x = 574.24 × 209.74
  4. Step 4: Simplify right side
    383.03x = 120,440.61
  5. Step 5: Solve for x
    x = 120,440.61/383.03
  6. Step 6: Final answer
    x = 314.44

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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.