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Finding the Fourth Proportional to 343.71, 474.36 and 256.23

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Solution

The fourth proportional to 343.71, 474.36 and 256.23 is: 353.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.71 : 474.36 = 256.23 : x
  2. Step 2: Convert to fraction form
    343.71/474.36 = 256.23/x
  3. Step 3: Cross multiply
    343.71x = 474.36 × 256.23
  4. Step 4: Simplify right side
    343.71x = 121,544.30
  5. Step 5: Solve for x
    x = 121,544.30/343.71
  6. Step 6: Final answer
    x = 353.62

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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.