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Finding the Fourth Proportional to 695.17, 958.23 and 471.04

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Solution

The fourth proportional to 695.17, 958.23 and 471.04 is: 649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.17 : 958.23 = 471.04 : x
  2. Step 2: Convert to fraction form
    695.17/958.23 = 471.04/x
  3. Step 3: Cross multiply
    695.17x = 958.23 × 471.04
  4. Step 4: Simplify right side
    695.17x = 451,362.29
  5. Step 5: Solve for x
    x = 451,362.29/695.17
  6. Step 6: Final answer
    x = 649.28

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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.