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Finding the Fourth Proportional to 514.45, 709.89 and 293.41

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Solution

The fourth proportional to 514.45, 709.89 and 293.41 is: 404.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.45 : 709.89 = 293.41 : x
  2. Step 2: Convert to fraction form
    514.45/709.89 = 293.41/x
  3. Step 3: Cross multiply
    514.45x = 709.89 × 293.41
  4. Step 4: Simplify right side
    514.45x = 208,288.82
  5. Step 5: Solve for x
    x = 208,288.82/514.45
  6. Step 6: Final answer
    x = 404.88

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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.