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Finding the Fourth Proportional to 343.53, 474.11 and 256.05

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Solution

The fourth proportional to 343.53, 474.11 and 256.05 is: 353.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.53 : 474.11 = 256.05 : x
  2. Step 2: Convert to fraction form
    343.53/474.11 = 256.05/x
  3. Step 3: Cross multiply
    343.53x = 474.11 × 256.05
  4. Step 4: Simplify right side
    343.53x = 121,394.59
  5. Step 5: Solve for x
    x = 121,394.59/343.53
  6. Step 6: Final answer
    x = 353.37

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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.