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Finding the Fourth Proportional to 544.85, 817.36 and 179.63

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Solution

The fourth proportional to 544.85, 817.36 and 179.63 is: 269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.85 : 817.36 = 179.63 : x
  2. Step 2: Convert to fraction form
    544.85/817.36 = 179.63/x
  3. Step 3: Cross multiply
    544.85x = 817.36 × 179.63
  4. Step 4: Simplify right side
    544.85x = 146,817.84
  5. Step 5: Solve for x
    x = 146,817.84/544.85
  6. Step 6: Final answer
    x = 269.47

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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.