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Finding the Fourth Proportional to 608.29, 910.86 and 402.22

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Solution

The fourth proportional to 608.29, 910.86 and 402.22 is: 602.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.29 : 910.86 = 402.22 : x
  2. Step 2: Convert to fraction form
    608.29/910.86 = 402.22/x
  3. Step 3: Cross multiply
    608.29x = 910.86 × 402.22
  4. Step 4: Simplify right side
    608.29x = 366,361.55
  5. Step 5: Solve for x
    x = 366,361.55/608.29
  6. Step 6: Final answer
    x = 602.29

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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.