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Finding the Fourth Proportional to 380.38, 570.41 and 175.09

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Solution

The fourth proportional to 380.38, 570.41 and 175.09 is: 262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.38 : 570.41 = 175.09 : x
  2. Step 2: Convert to fraction form
    380.38/570.41 = 175.09/x
  3. Step 3: Cross multiply
    380.38x = 570.41 × 175.09
  4. Step 4: Simplify right side
    380.38x = 99,873.09
  5. Step 5: Solve for x
    x = 99,873.09/380.38
  6. Step 6: Final answer
    x = 262.56

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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.