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Finding the Fourth Proportional to 544.40, 816.63 and 179.22

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Solution

The fourth proportional to 544.40, 816.63 and 179.22 is: 268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.40 : 816.63 = 179.22 : x
  2. Step 2: Convert to fraction form
    544.40/816.63 = 179.22/x
  3. Step 3: Cross multiply
    544.40x = 816.63 × 179.22
  4. Step 4: Simplify right side
    544.40x = 146,355.53
  5. Step 5: Solve for x
    x = 146,355.53/544.40
  6. Step 6: Final answer
    x = 268.84

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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.