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Finding the Fourth Proportional to 518.54, 776.89 and 371.52

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Solution

The fourth proportional to 518.54, 776.89 and 371.52 is: 556.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.54 : 776.89 = 371.52 : x
  2. Step 2: Convert to fraction form
    518.54/776.89 = 371.52/x
  3. Step 3: Cross multiply
    518.54x = 776.89 × 371.52
  4. Step 4: Simplify right side
    518.54x = 288,630.64
  5. Step 5: Solve for x
    x = 288,630.64/518.54
  6. Step 6: Final answer
    x = 556.63

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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.