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Finding the Fourth Proportional to 429.02, 591.87 and 254.36

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Solution

The fourth proportional to 429.02, 591.87 and 254.36 is: 350.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.02 : 591.87 = 254.36 : x
  2. Step 2: Convert to fraction form
    429.02/591.87 = 254.36/x
  3. Step 3: Cross multiply
    429.02x = 591.87 × 254.36
  4. Step 4: Simplify right side
    429.02x = 150,548.05
  5. Step 5: Solve for x
    x = 150,548.05/429.02
  6. Step 6: Final answer
    x = 350.91

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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.