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Finding the Fourth Proportional to 695.53, 960.02 and 459.51

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Solution

The fourth proportional to 695.53, 960.02 and 459.51 is: 634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.53 : 960.02 = 459.51 : x
  2. Step 2: Convert to fraction form
    695.53/960.02 = 459.51/x
  3. Step 3: Cross multiply
    695.53x = 960.02 × 459.51
  4. Step 4: Simplify right side
    695.53x = 441,138.79
  5. Step 5: Solve for x
    x = 441,138.79/695.53
  6. Step 6: Final answer
    x = 634.25

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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.