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Finding the Fourth Proportional to 657.14, 985.05 and 266.99

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Solution

The fourth proportional to 657.14, 985.05 and 266.99 is: 400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.14 : 985.05 = 266.99 : x
  2. Step 2: Convert to fraction form
    657.14/985.05 = 266.99/x
  3. Step 3: Cross multiply
    657.14x = 985.05 × 266.99
  4. Step 4: Simplify right side
    657.14x = 262,993.57
  5. Step 5: Solve for x
    x = 262,993.57/657.14
  6. Step 6: Final answer
    x = 400.21

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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.