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Finding the Fourth Proportional to 429.14, 591.99 and 254.54

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Solution

The fourth proportional to 429.14, 591.99 and 254.54 is: 351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.14 : 591.99 = 254.54 : x
  2. Step 2: Convert to fraction form
    429.14/591.99 = 254.54/x
  3. Step 3: Cross multiply
    429.14x = 591.99 × 254.54
  4. Step 4: Simplify right side
    429.14x = 150,685.13
  5. Step 5: Solve for x
    x = 150,685.13/429.14
  6. Step 6: Final answer
    x = 351.13

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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.