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Finding the Fourth Proportional to 567.68, 851.17 and 519.34

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Solution

The fourth proportional to 567.68, 851.17 and 519.34 is: 778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.68 : 851.17 = 519.34 : x
  2. Step 2: Convert to fraction form
    567.68/851.17 = 519.34/x
  3. Step 3: Cross multiply
    567.68x = 851.17 × 519.34
  4. Step 4: Simplify right side
    567.68x = 442,042.37
  5. Step 5: Solve for x
    x = 442,042.37/567.68
  6. Step 6: Final answer
    x = 778.68

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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.