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Finding the Fourth Proportional to 383.04, 574.68 and 200.34

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Solution

The fourth proportional to 383.04, 574.68 and 200.34 is: 300.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.04 : 574.68 = 200.34 : x
  2. Step 2: Convert to fraction form
    383.04/574.68 = 200.34/x
  3. Step 3: Cross multiply
    383.04x = 574.68 × 200.34
  4. Step 4: Simplify right side
    383.04x = 115,131.39
  5. Step 5: Solve for x
    x = 115,131.39/383.04
  6. Step 6: Final answer
    x = 300.57

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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.