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Finding the Fourth Proportional to 656.27, 983.84 and 266.25

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Solution

The fourth proportional to 656.27, 983.84 and 266.25 is: 399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.27 : 983.84 = 266.25 : x
  2. Step 2: Convert to fraction form
    656.27/983.84 = 266.25/x
  3. Step 3: Cross multiply
    656.27x = 983.84 × 266.25
  4. Step 4: Simplify right side
    656.27x = 261,946.07
  5. Step 5: Solve for x
    x = 261,946.07/656.27
  6. Step 6: Final answer
    x = 399.15

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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.