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Finding the Fourth Proportional to 695.42, 959.26 and 459.37

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Solution

The fourth proportional to 695.42, 959.26 and 459.37 is: 633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.42 : 959.26 = 459.37 : x
  2. Step 2: Convert to fraction form
    695.42/959.26 = 459.37/x
  3. Step 3: Cross multiply
    695.42x = 959.26 × 459.37
  4. Step 4: Simplify right side
    695.42x = 440,656.18
  5. Step 5: Solve for x
    x = 440,656.18/695.42
  6. Step 6: Final answer
    x = 633.66

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