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Finding the Fourth Proportional to 519.19, 778.74 and 431.71

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Solution

The fourth proportional to 519.19, 778.74 and 431.71 is: 647.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.19 : 778.74 = 431.71 : x
  2. Step 2: Convert to fraction form
    519.19/778.74 = 431.71/x
  3. Step 3: Cross multiply
    519.19x = 778.74 × 431.71
  4. Step 4: Simplify right side
    519.19x = 336,189.85
  5. Step 5: Solve for x
    x = 336,189.85/519.19
  6. Step 6: Final answer
    x = 647.53

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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.