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Finding the Fourth Proportional to 394.23, 590.13 and 232.23

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Solution

The fourth proportional to 394.23, 590.13 and 232.23 is: 347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.23 : 590.13 = 232.23 : x
  2. Step 2: Convert to fraction form
    394.23/590.13 = 232.23/x
  3. Step 3: Cross multiply
    394.23x = 590.13 × 232.23
  4. Step 4: Simplify right side
    394.23x = 137,045.89
  5. Step 5: Solve for x
    x = 137,045.89/394.23
  6. Step 6: Final answer
    x = 347.63

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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.