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Finding the Fourth Proportional to 519.36, 779.85 and 471.57

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Solution

The fourth proportional to 519.36, 779.85 and 471.57 is: 708.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.36 : 779.85 = 471.57 : x
  2. Step 2: Convert to fraction form
    519.36/779.85 = 471.57/x
  3. Step 3: Cross multiply
    519.36x = 779.85 × 471.57
  4. Step 4: Simplify right side
    519.36x = 367,753.86
  5. Step 5: Solve for x
    x = 367,753.86/519.36
  6. Step 6: Final answer
    x = 708.09

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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.