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Finding the Fourth Proportional to 376.34, 564.43 and 239.21

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Solution

The fourth proportional to 376.34, 564.43 and 239.21 is: 358.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.34 : 564.43 = 239.21 : x
  2. Step 2: Convert to fraction form
    376.34/564.43 = 239.21/x
  3. Step 3: Cross multiply
    376.34x = 564.43 × 239.21
  4. Step 4: Simplify right side
    376.34x = 135,017.30
  5. Step 5: Solve for x
    x = 135,017.30/376.34
  6. Step 6: Final answer
    x = 358.76

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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.