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Finding the Fourth Proportional to 517.86, 778.21 and 416.21

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Solution

The fourth proportional to 517.86, 778.21 and 416.21 is: 625.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.86 : 778.21 = 416.21 : x
  2. Step 2: Convert to fraction form
    517.86/778.21 = 416.21/x
  3. Step 3: Cross multiply
    517.86x = 778.21 × 416.21
  4. Step 4: Simplify right side
    517.86x = 323,893.85
  5. Step 5: Solve for x
    x = 323,893.85/517.86
  6. Step 6: Final answer
    x = 625.45

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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.