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Finding the Fourth Proportional to 429.14, 592.16 and 254.48

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Solution

The fourth proportional to 429.14, 592.16 and 254.48 is: 351.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.14 : 592.16 = 254.48 : x
  2. Step 2: Convert to fraction form
    429.14/592.16 = 254.48/x
  3. Step 3: Cross multiply
    429.14x = 592.16 × 254.48
  4. Step 4: Simplify right side
    429.14x = 150,692.88
  5. Step 5: Solve for x
    x = 150,692.88/429.14
  6. Step 6: Final answer
    x = 351.15

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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.