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Finding the Fourth Proportional to 393.12, 590.04 and 239.22

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Solution

The fourth proportional to 393.12, 590.04 and 239.22 is: 359.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.12 : 590.04 = 239.22 : x
  2. Step 2: Convert to fraction form
    393.12/590.04 = 239.22/x
  3. Step 3: Cross multiply
    393.12x = 590.04 × 239.22
  4. Step 4: Simplify right side
    393.12x = 141,149.37
  5. Step 5: Solve for x
    x = 141,149.37/393.12
  6. Step 6: Final answer
    x = 359.05

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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.