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Finding the Fourth Proportional to 695.53, 958.98 and 433.09

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Solution

The fourth proportional to 695.53, 958.98 and 433.09 is: 597.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.53 : 958.98 = 433.09 : x
  2. Step 2: Convert to fraction form
    695.53/958.98 = 433.09/x
  3. Step 3: Cross multiply
    695.53x = 958.98 × 433.09
  4. Step 4: Simplify right side
    695.53x = 415,324.65
  5. Step 5: Solve for x
    x = 415,324.65/695.53
  6. Step 6: Final answer
    x = 597.13

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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.