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Finding the Fourth Proportional to 544.46, 816.39 and 174.15

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Solution

The fourth proportional to 544.46, 816.39 and 174.15 is: 261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.46 : 816.39 = 174.15 : x
  2. Step 2: Convert to fraction form
    544.46/816.39 = 174.15/x
  3. Step 3: Cross multiply
    544.46x = 816.39 × 174.15
  4. Step 4: Simplify right side
    544.46x = 142,174.32
  5. Step 5: Solve for x
    x = 142,174.32/544.46
  6. Step 6: Final answer
    x = 261.13

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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.