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Finding the Fourth Proportional to 384.48, 576.75 and 189.65

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Solution

The fourth proportional to 384.48, 576.75 and 189.65 is: 284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.48 : 576.75 = 189.65 : x
  2. Step 2: Convert to fraction form
    384.48/576.75 = 189.65/x
  3. Step 3: Cross multiply
    384.48x = 576.75 × 189.65
  4. Step 4: Simplify right side
    384.48x = 109,380.64
  5. Step 5: Solve for x
    x = 109,380.64/384.48
  6. Step 6: Final answer
    x = 284.49

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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.