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Finding the Fourth Proportional to 657.98, 986.67 and 224.96

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Solution

The fourth proportional to 657.98, 986.67 and 224.96 is: 337.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.98 : 986.67 = 224.96 : x
  2. Step 2: Convert to fraction form
    657.98/986.67 = 224.96/x
  3. Step 3: Cross multiply
    657.98x = 986.67 × 224.96
  4. Step 4: Simplify right side
    657.98x = 221,961.28
  5. Step 5: Solve for x
    x = 221,961.28/657.98
  6. Step 6: Final answer
    x = 337.34

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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.