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Finding the Fourth Proportional to 868.30, 1,198.25 and 475.32

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Solution

The fourth proportional to 868.30, 1,198.25 and 475.32 is: 655.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.30 : 1,198.25 = 475.32 : x
  2. Step 2: Convert to fraction form
    868.30/1,198.25 = 475.32/x
  3. Step 3: Cross multiply
    868.30x = 1,198.25 × 475.32
  4. Step 4: Simplify right side
    868.30x = 569,552.19
  5. Step 5: Solve for x
    x = 569,552.19/868.30
  6. Step 6: Final answer
    x = 655.94

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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.