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Finding the Fourth Proportional to 695.72, 959.78 and 459.34

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Solution

The fourth proportional to 695.72, 959.78 and 459.34 is: 633.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.72 : 959.78 = 459.34 : x
  2. Step 2: Convert to fraction form
    695.72/959.78 = 459.34/x
  3. Step 3: Cross multiply
    695.72x = 959.78 × 459.34
  4. Step 4: Simplify right side
    695.72x = 440,864.09
  5. Step 5: Solve for x
    x = 440,864.09/695.72
  6. Step 6: Final answer
    x = 633.68

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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.