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Finding the Fourth Proportional to 343.78, 474.84 and 256.84

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Solution

The fourth proportional to 343.78, 474.84 and 256.84 is: 354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.78 : 474.84 = 256.84 : x
  2. Step 2: Convert to fraction form
    343.78/474.84 = 256.84/x
  3. Step 3: Cross multiply
    343.78x = 474.84 × 256.84
  4. Step 4: Simplify right side
    343.78x = 121,957.91
  5. Step 5: Solve for x
    x = 121,957.91/343.78
  6. Step 6: Final answer
    x = 354.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.