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Finding the Fourth Proportional to 425.92, 588.33 and 343.34

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Solution

The fourth proportional to 425.92, 588.33 and 343.34 is: 474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.92 : 588.33 = 343.34 : x
  2. Step 2: Convert to fraction form
    425.92/588.33 = 343.34/x
  3. Step 3: Cross multiply
    425.92x = 588.33 × 343.34
  4. Step 4: Simplify right side
    425.92x = 201,997.22
  5. Step 5: Solve for x
    x = 201,997.22/425.92
  6. Step 6: Final answer
    x = 474.26

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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.