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Finding the Fourth Proportional to 343.91, 514.96 and 322.29

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Solution

The fourth proportional to 343.91, 514.96 and 322.29 is: 482.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.91 : 514.96 = 322.29 : x
  2. Step 2: Convert to fraction form
    343.91/514.96 = 322.29/x
  3. Step 3: Cross multiply
    343.91x = 514.96 × 322.29
  4. Step 4: Simplify right side
    343.91x = 165,965.65
  5. Step 5: Solve for x
    x = 165,965.65/343.91
  6. Step 6: Final answer
    x = 482.58

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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.