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Finding the Fourth Proportional to 427.70, 590.26 and 261.88

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Solution

The fourth proportional to 427.70, 590.26 and 261.88 is: 361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.70 : 590.26 = 261.88 : x
  2. Step 2: Convert to fraction form
    427.70/590.26 = 261.88/x
  3. Step 3: Cross multiply
    427.70x = 590.26 × 261.88
  4. Step 4: Simplify right side
    427.70x = 154,577.29
  5. Step 5: Solve for x
    x = 154,577.29/427.70
  6. Step 6: Final answer
    x = 361.42

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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.