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Finding the Fourth Proportional to 515.46, 711.31 and 294.49

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Solution

The fourth proportional to 515.46, 711.31 and 294.49 is: 406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.46 : 711.31 = 294.49 : x
  2. Step 2: Convert to fraction form
    515.46/711.31 = 294.49/x
  3. Step 3: Cross multiply
    515.46x = 711.31 × 294.49
  4. Step 4: Simplify right side
    515.46x = 209,469.56
  5. Step 5: Solve for x
    x = 209,469.56/515.46
  6. Step 6: Final answer
    x = 406.37

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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.