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Finding the Fourth Proportional to 695.24, 959.58 and 459.23

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Solution

The fourth proportional to 695.24, 959.58 and 459.23 is: 633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.24 : 959.58 = 459.23 : x
  2. Step 2: Convert to fraction form
    695.24/959.58 = 459.23/x
  3. Step 3: Cross multiply
    695.24x = 959.58 × 459.23
  4. Step 4: Simplify right side
    695.24x = 440,663.13
  5. Step 5: Solve for x
    x = 440,663.13/695.24
  6. Step 6: Final answer
    x = 633.83

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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.