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Finding the Fourth Proportional to 695.26, 959.22 and 433.06

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Solution

The fourth proportional to 695.26, 959.22 and 433.06 is: 597.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.26 : 959.22 = 433.06 : x
  2. Step 2: Convert to fraction form
    695.26/959.22 = 433.06/x
  3. Step 3: Cross multiply
    695.26x = 959.22 × 433.06
  4. Step 4: Simplify right side
    695.26x = 415,399.81
  5. Step 5: Solve for x
    x = 415,399.81/695.26
  6. Step 6: Final answer
    x = 597.47

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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.