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Finding the Fourth Proportional to 518.08, 776.76 and 193.36

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Solution

The fourth proportional to 518.08, 776.76 and 193.36 is: 289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.08 : 776.76 = 193.36 : x
  2. Step 2: Convert to fraction form
    518.08/776.76 = 193.36/x
  3. Step 3: Cross multiply
    518.08x = 776.76 × 193.36
  4. Step 4: Simplify right side
    518.08x = 150,194.31
  5. Step 5: Solve for x
    x = 150,194.31/518.08
  6. Step 6: Final answer
    x = 289.91

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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.