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Finding the Fourth Proportional to 384.09, 576.09 and 189.02

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Solution

The fourth proportional to 384.09, 576.09 and 189.02 is: 283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.09 : 576.09 = 189.02 : x
  2. Step 2: Convert to fraction form
    384.09/576.09 = 189.02/x
  3. Step 3: Cross multiply
    384.09x = 576.09 × 189.02
  4. Step 4: Simplify right side
    384.09x = 108,892.53
  5. Step 5: Solve for x
    x = 108,892.53/384.09
  6. Step 6: Final answer
    x = 283.51

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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.