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Finding the Fourth Proportional to 427.62, 590.08 and 241.11

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Solution

The fourth proportional to 427.62, 590.08 and 241.11 is: 332.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.62 : 590.08 = 241.11 : x
  2. Step 2: Convert to fraction form
    427.62/590.08 = 241.11/x
  3. Step 3: Cross multiply
    427.62x = 590.08 × 241.11
  4. Step 4: Simplify right side
    427.62x = 142,274.19
  5. Step 5: Solve for x
    x = 142,274.19/427.62
  6. Step 6: Final answer
    x = 332.71

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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.