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Finding the Fourth Proportional to 515.96, 712 and 294.92

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Solution

The fourth proportional to 515.96, 712 and 294.92 is: 406.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.96 : 712 = 294.92 : x
  2. Step 2: Convert to fraction form
    515.96/712 = 294.92/x
  3. Step 3: Cross multiply
    515.96x = 712 × 294.92
  4. Step 4: Simplify right side
    515.96x = 209,983.04
  5. Step 5: Solve for x
    x = 209,983.04/515.96
  6. Step 6: Final answer
    x = 406.98

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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.