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Finding the Fourth Proportional to 655.36, 983.28 and 270.64

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Solution

The fourth proportional to 655.36, 983.28 and 270.64 is: 406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.36 : 983.28 = 270.64 : x
  2. Step 2: Convert to fraction form
    655.36/983.28 = 270.64/x
  3. Step 3: Cross multiply
    655.36x = 983.28 × 270.64
  4. Step 4: Simplify right side
    655.36x = 266,114.90
  5. Step 5: Solve for x
    x = 266,114.90/655.36
  6. Step 6: Final answer
    x = 406.06

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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.