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Finding the Fourth Proportional to 429.32, 592.56 and 254.78

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Solution

The fourth proportional to 429.32, 592.56 and 254.78 is: 351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.32 : 592.56 = 254.78 : x
  2. Step 2: Convert to fraction form
    429.32/592.56 = 254.78/x
  3. Step 3: Cross multiply
    429.32x = 592.56 × 254.78
  4. Step 4: Simplify right side
    429.32x = 150,972.44
  5. Step 5: Solve for x
    x = 150,972.44/429.32
  6. Step 6: Final answer
    x = 351.65

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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.