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Finding the Fourth Proportional to 384.62, 576.63 and 189.54

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Solution

The fourth proportional to 384.62, 576.63 and 189.54 is: 284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.62 : 576.63 = 189.54 : x
  2. Step 2: Convert to fraction form
    384.62/576.63 = 189.54/x
  3. Step 3: Cross multiply
    384.62x = 576.63 × 189.54
  4. Step 4: Simplify right side
    384.62x = 109,294.45
  5. Step 5: Solve for x
    x = 109,294.45/384.62
  6. Step 6: Final answer
    x = 284.17

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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.