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Finding the Fourth Proportional to 695.32, 959.34 and 433.24

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Solution

The fourth proportional to 695.32, 959.34 and 433.24 is: 597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.32 : 959.34 = 433.24 : x
  2. Step 2: Convert to fraction form
    695.32/959.34 = 433.24/x
  3. Step 3: Cross multiply
    695.32x = 959.34 × 433.24
  4. Step 4: Simplify right side
    695.32x = 415,624.46
  5. Step 5: Solve for x
    x = 415,624.46/695.32
  6. Step 6: Final answer
    x = 597.75

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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.