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Finding the Fourth Proportional to 515.98, 712.04 and 279.92

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Solution

The fourth proportional to 515.98, 712.04 and 279.92 is: 386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.98 : 712.04 = 279.92 : x
  2. Step 2: Convert to fraction form
    515.98/712.04 = 279.92/x
  3. Step 3: Cross multiply
    515.98x = 712.04 × 279.92
  4. Step 4: Simplify right side
    515.98x = 199,314.24
  5. Step 5: Solve for x
    x = 199,314.24/515.98
  6. Step 6: Final answer
    x = 386.28

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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.