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Finding the Fourth Proportional to 429.45, 592.53 and 254.73

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Solution

The fourth proportional to 429.45, 592.53 and 254.73 is: 351.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.45 : 592.53 = 254.73 : x
  2. Step 2: Convert to fraction form
    429.45/592.53 = 254.73/x
  3. Step 3: Cross multiply
    429.45x = 592.53 × 254.73
  4. Step 4: Simplify right side
    429.45x = 150,933.89
  5. Step 5: Solve for x
    x = 150,933.89/429.45
  6. Step 6: Final answer
    x = 351.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.