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Finding the Fourth Proportional to 657.98, 986.97 and 333.44

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Solution

The fourth proportional to 657.98, 986.97 and 333.44 is: 500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.98 : 986.97 = 333.44 : x
  2. Step 2: Convert to fraction form
    657.98/986.97 = 333.44/x
  3. Step 3: Cross multiply
    657.98x = 986.97 × 333.44
  4. Step 4: Simplify right side
    657.98x = 329,095.28
  5. Step 5: Solve for x
    x = 329,095.28/657.98
  6. Step 6: Final answer
    x = 500.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.