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Finding the Fourth Proportional to 519.08, 778.41 and 237.60

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Solution

The fourth proportional to 519.08, 778.41 and 237.60 is: 356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.08 : 778.41 = 237.60 : x
  2. Step 2: Convert to fraction form
    519.08/778.41 = 237.60/x
  3. Step 3: Cross multiply
    519.08x = 778.41 × 237.60
  4. Step 4: Simplify right side
    519.08x = 184,950.22
  5. Step 5: Solve for x
    x = 184,950.22/519.08
  6. Step 6: Final answer
    x = 356.31

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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.