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Finding the Fourth Proportional to 427.69, 590.22 and 241.19

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Solution

The fourth proportional to 427.69, 590.22 and 241.19 is: 332.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.69 : 590.22 = 241.19 : x
  2. Step 2: Convert to fraction form
    427.69/590.22 = 241.19/x
  3. Step 3: Cross multiply
    427.69x = 590.22 × 241.19
  4. Step 4: Simplify right side
    427.69x = 142,355.16
  5. Step 5: Solve for x
    x = 142,355.16/427.69
  6. Step 6: Final answer
    x = 332.85

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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.