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Finding the Fourth Proportional to 695.59, 960.27 and 433.69

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Solution

The fourth proportional to 695.59, 960.27 and 433.69 is: 598.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.59 : 960.27 = 433.69 : x
  2. Step 2: Convert to fraction form
    695.59/960.27 = 433.69/x
  3. Step 3: Cross multiply
    695.59x = 960.27 × 433.69
  4. Step 4: Simplify right side
    695.59x = 416,459.50
  5. Step 5: Solve for x
    x = 416,459.50/695.59
  6. Step 6: Final answer
    x = 598.71

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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.