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Finding the Fourth Proportional to 343.72, 514.75 and 256.96

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Solution

The fourth proportional to 343.72, 514.75 and 256.96 is: 384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.72 : 514.75 = 256.96 : x
  2. Step 2: Convert to fraction form
    343.72/514.75 = 256.96/x
  3. Step 3: Cross multiply
    343.72x = 514.75 × 256.96
  4. Step 4: Simplify right side
    343.72x = 132,270.16
  5. Step 5: Solve for x
    x = 132,270.16/343.72
  6. Step 6: Final answer
    x = 384.82

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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.