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Finding the Fourth Proportional to 393.08, 589.31 and 238.98

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Solution

The fourth proportional to 393.08, 589.31 and 238.98 is: 358.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.08 : 589.31 = 238.98 : x
  2. Step 2: Convert to fraction form
    393.08/589.31 = 238.98/x
  3. Step 3: Cross multiply
    393.08x = 589.31 × 238.98
  4. Step 4: Simplify right side
    393.08x = 140,830.24
  5. Step 5: Solve for x
    x = 140,830.24/393.08
  6. Step 6: Final answer
    x = 358.28

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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.