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Finding the Fourth Proportional to 384.21, 576.72 and 189.36

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Solution

The fourth proportional to 384.21, 576.72 and 189.36 is: 284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.21 : 576.72 = 189.36 : x
  2. Step 2: Convert to fraction form
    384.21/576.72 = 189.36/x
  3. Step 3: Cross multiply
    384.21x = 576.72 × 189.36
  4. Step 4: Simplify right side
    384.21x = 109,207.70
  5. Step 5: Solve for x
    x = 109,207.70/384.21
  6. Step 6: Final answer
    x = 284.24

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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.