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Finding the Fourth Proportional to 696.09, 960.62 and 381.36

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Solution

The fourth proportional to 696.09, 960.62 and 381.36 is: 526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.09 : 960.62 = 381.36 : x
  2. Step 2: Convert to fraction form
    696.09/960.62 = 381.36/x
  3. Step 3: Cross multiply
    696.09x = 960.62 × 381.36
  4. Step 4: Simplify right side
    696.09x = 366,342.04
  5. Step 5: Solve for x
    x = 366,342.04/696.09
  6. Step 6: Final answer
    x = 526.29

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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.