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Finding the Fourth Proportional to 343.41, 512.55 and 335.22

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Solution

The fourth proportional to 343.41, 512.55 and 335.22 is: 500.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.41 : 512.55 = 335.22 : x
  2. Step 2: Convert to fraction form
    343.41/512.55 = 335.22/x
  3. Step 3: Cross multiply
    343.41x = 512.55 × 335.22
  4. Step 4: Simplify right side
    343.41x = 171,817.01
  5. Step 5: Solve for x
    x = 171,817.01/343.41
  6. Step 6: Final answer
    x = 500.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.