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Finding the Fourth Proportional to 384.42, 576.78 and 201.93

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Solution

The fourth proportional to 384.42, 576.78 and 201.93 is: 302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.42 : 576.78 = 201.93 : x
  2. Step 2: Convert to fraction form
    384.42/576.78 = 201.93/x
  3. Step 3: Cross multiply
    384.42x = 576.78 × 201.93
  4. Step 4: Simplify right side
    384.42x = 116,469.19
  5. Step 5: Solve for x
    x = 116,469.19/384.42
  6. Step 6: Final answer
    x = 302.97

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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.