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Finding the Fourth Proportional to 657.70, 986.98 and 247.16

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Solution

The fourth proportional to 657.70, 986.98 and 247.16 is: 370.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.70 : 986.98 = 247.16 : x
  2. Step 2: Convert to fraction form
    657.70/986.98 = 247.16/x
  3. Step 3: Cross multiply
    657.70x = 986.98 × 247.16
  4. Step 4: Simplify right side
    657.70x = 243,941.98
  5. Step 5: Solve for x
    x = 243,941.98/657.70
  6. Step 6: Final answer
    x = 370.90

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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.