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Finding the Fourth Proportional to 517.24, 774.24 and 447.58

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Solution

The fourth proportional to 517.24, 774.24 and 447.58 is: 669.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.24 : 774.24 = 447.58 : x
  2. Step 2: Convert to fraction form
    517.24/774.24 = 447.58/x
  3. Step 3: Cross multiply
    517.24x = 774.24 × 447.58
  4. Step 4: Simplify right side
    517.24x = 346,534.34
  5. Step 5: Solve for x
    x = 346,534.34/517.24
  6. Step 6: Final answer
    x = 669.97

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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.