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Finding the Fourth Proportional to 695.31, 958.55 and 496.24

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Solution

The fourth proportional to 695.31, 958.55 and 496.24 is: 684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.31 : 958.55 = 496.24 : x
  2. Step 2: Convert to fraction form
    695.31/958.55 = 496.24/x
  3. Step 3: Cross multiply
    695.31x = 958.55 × 496.24
  4. Step 4: Simplify right side
    695.31x = 475,670.85
  5. Step 5: Solve for x
    x = 475,670.85/695.31
  6. Step 6: Final answer
    x = 684.11

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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.