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Finding the Fourth Proportional to 695.34, 959.96 and 471.44

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Solution

The fourth proportional to 695.34, 959.96 and 471.44 is: 650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.34 : 959.96 = 471.44 : x
  2. Step 2: Convert to fraction form
    695.34/959.96 = 471.44/x
  3. Step 3: Cross multiply
    695.34x = 959.96 × 471.44
  4. Step 4: Simplify right side
    695.34x = 452,563.54
  5. Step 5: Solve for x
    x = 452,563.54/695.34
  6. Step 6: Final answer
    x = 650.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.