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Finding the Fourth Proportional to 427.86, 590.45 and 231.37

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Solution

The fourth proportional to 427.86, 590.45 and 231.37 is: 319.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.86 : 590.45 = 231.37 : x
  2. Step 2: Convert to fraction form
    427.86/590.45 = 231.37/x
  3. Step 3: Cross multiply
    427.86x = 590.45 × 231.37
  4. Step 4: Simplify right side
    427.86x = 136,613.01
  5. Step 5: Solve for x
    x = 136,613.01/427.86
  6. Step 6: Final answer
    x = 319.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.