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Finding the Fourth Proportional to 515.47, 711.34 and 294.43

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Solution

The fourth proportional to 515.47, 711.34 and 294.43 is: 406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.47 : 711.34 = 294.43 : x
  2. Step 2: Convert to fraction form
    515.47/711.34 = 294.43/x
  3. Step 3: Cross multiply
    515.47x = 711.34 × 294.43
  4. Step 4: Simplify right side
    515.47x = 209,439.84
  5. Step 5: Solve for x
    x = 209,439.84/515.47
  6. Step 6: Final answer
    x = 406.31

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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.