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Finding the Fourth Proportional to 394.16, 590.50 and 231.36

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Solution

The fourth proportional to 394.16, 590.50 and 231.36 is: 346.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.16 : 590.50 = 231.36 : x
  2. Step 2: Convert to fraction form
    394.16/590.50 = 231.36/x
  3. Step 3: Cross multiply
    394.16x = 590.50 × 231.36
  4. Step 4: Simplify right side
    394.16x = 136,618.08
  5. Step 5: Solve for x
    x = 136,618.08/394.16
  6. Step 6: Final answer
    x = 346.61

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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.