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Finding the Fourth Proportional to 383.84, 576 and 201.32

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Solution

The fourth proportional to 383.84, 576 and 201.32 is: 302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.84 : 576 = 201.32 : x
  2. Step 2: Convert to fraction form
    383.84/576 = 201.32/x
  3. Step 3: Cross multiply
    383.84x = 576 × 201.32
  4. Step 4: Simplify right side
    383.84x = 115,960.32
  5. Step 5: Solve for x
    x = 115,960.32/383.84
  6. Step 6: Final answer
    x = 302.11

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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.