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Finding the Fourth Proportional to 516, 712 and 294.88

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Solution

The fourth proportional to 516, 712 and 294.88 is: 406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    516 : 712 = 294.88 : x
  2. Step 2: Convert to fraction form
    516/712 = 294.88/x
  3. Step 3: Cross multiply
    516x = 712 × 294.88
  4. Step 4: Simplify right side
    516x = 209,954.56
  5. Step 5: Solve for x
    x = 209,954.56/516
  6. Step 6: Final answer
    x = 406.89

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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.