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Finding the Fourth Proportional to 427.73, 590.21 and 241.24

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Solution

The fourth proportional to 427.73, 590.21 and 241.24 is: 332.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.73 : 590.21 = 241.24 : x
  2. Step 2: Convert to fraction form
    427.73/590.21 = 241.24/x
  3. Step 3: Cross multiply
    427.73x = 590.21 × 241.24
  4. Step 4: Simplify right side
    427.73x = 142,378.10
  5. Step 5: Solve for x
    x = 142,378.10/427.73
  6. Step 6: Final answer
    x = 332.87

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Why These Related Problems?

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