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Finding the Fourth Proportional to 608.84, 839.32 and 422.26

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Solution

The fourth proportional to 608.84, 839.32 and 422.26 is: 582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.84 : 839.32 = 422.26 : x
  2. Step 2: Convert to fraction form
    608.84/839.32 = 422.26/x
  3. Step 3: Cross multiply
    608.84x = 839.32 × 422.26
  4. Step 4: Simplify right side
    608.84x = 354,411.26
  5. Step 5: Solve for x
    x = 354,411.26/608.84
  6. Step 6: Final answer
    x = 582.11

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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.