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Finding the Fourth Proportional to 384.30, 575.82 and 201.42

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Solution

The fourth proportional to 384.30, 575.82 and 201.42 is: 301.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.30 : 575.82 = 201.42 : x
  2. Step 2: Convert to fraction form
    384.30/575.82 = 201.42/x
  3. Step 3: Cross multiply
    384.30x = 575.82 × 201.42
  4. Step 4: Simplify right side
    384.30x = 115,981.66
  5. Step 5: Solve for x
    x = 115,981.66/384.30
  6. Step 6: Final answer
    x = 301.80

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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.