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Finding the Fourth Proportional to 514.30, 709.96 and 349

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Solution

The fourth proportional to 514.30, 709.96 and 349 is: 481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.30 : 709.96 = 349 : x
  2. Step 2: Convert to fraction form
    514.30/709.96 = 349/x
  3. Step 3: Cross multiply
    514.30x = 709.96 × 349
  4. Step 4: Simplify right side
    514.30x = 247,776.04
  5. Step 5: Solve for x
    x = 247,776.04/514.30
  6. Step 6: Final answer
    x = 481.77

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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.