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Finding the Fourth Proportional to 343.54, 474.14 and 256.46

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Solution

The fourth proportional to 343.54, 474.14 and 256.46 is: 353.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.54 : 474.14 = 256.46 : x
  2. Step 2: Convert to fraction form
    343.54/474.14 = 256.46/x
  3. Step 3: Cross multiply
    343.54x = 474.14 × 256.46
  4. Step 4: Simplify right side
    343.54x = 121,597.94
  5. Step 5: Solve for x
    x = 121,597.94/343.54
  6. Step 6: Final answer
    x = 353.96

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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.