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Finding the Fourth Proportional to 343.16, 472.56 and 255.68

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Solution

The fourth proportional to 343.16, 472.56 and 255.68 is: 352.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.16 : 472.56 = 255.68 : x
  2. Step 2: Convert to fraction form
    343.16/472.56 = 255.68/x
  3. Step 3: Cross multiply
    343.16x = 472.56 × 255.68
  4. Step 4: Simplify right side
    343.16x = 120,824.14
  5. Step 5: Solve for x
    x = 120,824.14/343.16
  6. Step 6: Final answer
    x = 352.09

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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.