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Finding the Fourth Proportional to 544.59, 816.75 and 174.33

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Solution

The fourth proportional to 544.59, 816.75 and 174.33 is: 261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.59 : 816.75 = 174.33 : x
  2. Step 2: Convert to fraction form
    544.59/816.75 = 174.33/x
  3. Step 3: Cross multiply
    544.59x = 816.75 × 174.33
  4. Step 4: Simplify right side
    544.59x = 142,384.03
  5. Step 5: Solve for x
    x = 142,384.03/544.59
  6. Step 6: Final answer
    x = 261.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.