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Finding the Fourth Proportional to 429.16, 592.23 and 254.50

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Solution

The fourth proportional to 429.16, 592.23 and 254.50 is: 351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.16 : 592.23 = 254.50 : x
  2. Step 2: Convert to fraction form
    429.16/592.23 = 254.50/x
  3. Step 3: Cross multiply
    429.16x = 592.23 × 254.50
  4. Step 4: Simplify right side
    429.16x = 150,722.54
  5. Step 5: Solve for x
    x = 150,722.54/429.16
  6. Step 6: Final answer
    x = 351.20

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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.