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Finding the Fourth Proportional to 427.90, 590.49 and 241.38

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Solution

The fourth proportional to 427.90, 590.49 and 241.38 is: 333.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.90 : 590.49 = 241.38 : x
  2. Step 2: Convert to fraction form
    427.90/590.49 = 241.38/x
  3. Step 3: Cross multiply
    427.90x = 590.49 × 241.38
  4. Step 4: Simplify right side
    427.90x = 142,532.48
  5. Step 5: Solve for x
    x = 142,532.48/427.90
  6. Step 6: Final answer
    x = 333.10

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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.