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Finding the Fourth Proportional to 544.73, 751.74 and 296.06

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Solution

The fourth proportional to 544.73, 751.74 and 296.06 is: 408.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.73 : 751.74 = 296.06 : x
  2. Step 2: Convert to fraction form
    544.73/751.74 = 296.06/x
  3. Step 3: Cross multiply
    544.73x = 751.74 × 296.06
  4. Step 4: Simplify right side
    544.73x = 222,562.98
  5. Step 5: Solve for x
    x = 222,562.98/544.73
  6. Step 6: Final answer
    x = 408.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.