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Finding the Fourth Proportional to 544.26, 816.50 and 174.06

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Solution

The fourth proportional to 544.26, 816.50 and 174.06 is: 261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.26 : 816.50 = 174.06 : x
  2. Step 2: Convert to fraction form
    544.26/816.50 = 174.06/x
  3. Step 3: Cross multiply
    544.26x = 816.50 × 174.06
  4. Step 4: Simplify right side
    544.26x = 142,119.99
  5. Step 5: Solve for x
    x = 142,119.99/544.26
  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.