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Finding the Fourth Proportional to 429.84, 593.22 and 261.80

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Solution

The fourth proportional to 429.84, 593.22 and 261.80 is: 361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.84 : 593.22 = 261.80 : x
  2. Step 2: Convert to fraction form
    429.84/593.22 = 261.80/x
  3. Step 3: Cross multiply
    429.84x = 593.22 × 261.80
  4. Step 4: Simplify right side
    429.84x = 155,305.00
  5. Step 5: Solve for x
    x = 155,305.00/429.84
  6. Step 6: Final answer
    x = 361.31

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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.