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Finding the Fourth Proportional to 657.20, 985.94 and 267.14

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Solution

The fourth proportional to 657.20, 985.94 and 267.14 is: 400.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.20 : 985.94 = 267.14 : x
  2. Step 2: Convert to fraction form
    657.20/985.94 = 267.14/x
  3. Step 3: Cross multiply
    657.20x = 985.94 × 267.14
  4. Step 4: Simplify right side
    657.20x = 263,384.01
  5. Step 5: Solve for x
    x = 263,384.01/657.20
  6. Step 6: Final answer
    x = 400.77

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Why These Related Problems?

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