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Finding the Fourth Proportional to 519.57, 778.34 and 313.53

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Solution

The fourth proportional to 519.57, 778.34 and 313.53 is: 469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.57 : 778.34 = 313.53 : x
  2. Step 2: Convert to fraction form
    519.57/778.34 = 313.53/x
  3. Step 3: Cross multiply
    519.57x = 778.34 × 313.53
  4. Step 4: Simplify right side
    519.57x = 244,032.94
  5. Step 5: Solve for x
    x = 244,032.94/519.57
  6. Step 6: Final answer
    x = 469.68

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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.