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Finding the Fourth Proportional to 343.13, 514.92 and 256.56

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Solution

The fourth proportional to 343.13, 514.92 and 256.56 is: 385.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.13 : 514.92 = 256.56 : x
  2. Step 2: Convert to fraction form
    343.13/514.92 = 256.56/x
  3. Step 3: Cross multiply
    343.13x = 514.92 × 256.56
  4. Step 4: Simplify right side
    343.13x = 132,107.88
  5. Step 5: Solve for x
    x = 132,107.88/343.13
  6. Step 6: Final answer
    x = 385.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.