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Finding the Fourth Proportional to 402.77, 604.13 and 146.27

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Solution

The fourth proportional to 402.77, 604.13 and 146.27 is: 219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.77 : 604.13 = 146.27 : x
  2. Step 2: Convert to fraction form
    402.77/604.13 = 146.27/x
  3. Step 3: Cross multiply
    402.77x = 604.13 × 146.27
  4. Step 4: Simplify right side
    402.77x = 88,363.44
  5. Step 5: Solve for x
    x = 88,363.44/402.77
  6. Step 6: Final answer
    x = 219.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.