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Finding the Fourth Proportional to 544.16, 814.84 and 361.28

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Solution

The fourth proportional to 544.16, 814.84 and 361.28 is: 540.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.16 : 814.84 = 361.28 : x
  2. Step 2: Convert to fraction form
    544.16/814.84 = 361.28/x
  3. Step 3: Cross multiply
    544.16x = 814.84 × 361.28
  4. Step 4: Simplify right side
    544.16x = 294,385.40
  5. Step 5: Solve for x
    x = 294,385.40/544.16
  6. Step 6: Final answer
    x = 540.99

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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.