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Finding the Fourth Proportional to 656.12, 983.96 and 266.21

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Solution

The fourth proportional to 656.12, 983.96 and 266.21 is: 399.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.12 : 983.96 = 266.21 : x
  2. Step 2: Convert to fraction form
    656.12/983.96 = 266.21/x
  3. Step 3: Cross multiply
    656.12x = 983.96 × 266.21
  4. Step 4: Simplify right side
    656.12x = 261,943.12
  5. Step 5: Solve for x
    x = 261,943.12/656.12
  6. Step 6: Final answer
    x = 399.23

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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.