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Finding the Fourth Proportional to 518, 776.78 and 274.40

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Solution

The fourth proportional to 518, 776.78 and 274.40 is: 411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    518 : 776.78 = 274.40 : x
  2. Step 2: Convert to fraction form
    518/776.78 = 274.40/x
  3. Step 3: Cross multiply
    518x = 776.78 × 274.40
  4. Step 4: Simplify right side
    518x = 213,148.43
  5. Step 5: Solve for x
    x = 213,148.43/518
  6. Step 6: Final answer
    x = 411.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.