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Finding the Fourth Proportional to 343.67, 514.35 and 262.04

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Solution

The fourth proportional to 343.67, 514.35 and 262.04 is: 392.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.67 : 514.35 = 262.04 : x
  2. Step 2: Convert to fraction form
    343.67/514.35 = 262.04/x
  3. Step 3: Cross multiply
    343.67x = 514.35 × 262.04
  4. Step 4: Simplify right side
    343.67x = 134,777.70
  5. Step 5: Solve for x
    x = 134,777.70/343.67
  6. Step 6: Final answer
    x = 392.18

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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.