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Finding the Fourth Proportional to 427.69, 590.28 and 261.87

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Solution

The fourth proportional to 427.69, 590.28 and 261.87 is: 361.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.69 : 590.28 = 261.87 : x
  2. Step 2: Convert to fraction form
    427.69/590.28 = 261.87/x
  3. Step 3: Cross multiply
    427.69x = 590.28 × 261.87
  4. Step 4: Simplify right side
    427.69x = 154,573.43
  5. Step 5: Solve for x
    x = 154,573.43/427.69
  6. Step 6: Final answer
    x = 361.41

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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.