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Finding the Fourth Proportional to 695.11, 959.25 and 433.13

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Solution

The fourth proportional to 695.11, 959.25 and 433.13 is: 597.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.11 : 959.25 = 433.13 : x
  2. Step 2: Convert to fraction form
    695.11/959.25 = 433.13/x
  3. Step 3: Cross multiply
    695.11x = 959.25 × 433.13
  4. Step 4: Simplify right side
    695.11x = 415,475.56
  5. Step 5: Solve for x
    x = 415,475.56/695.11
  6. Step 6: Final answer
    x = 597.71

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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.