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Finding the Fourth Proportional to 544.77, 751.78 and 296.09

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Solution

The fourth proportional to 544.77, 751.78 and 296.09 is: 408.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.77 : 751.78 = 296.09 : x
  2. Step 2: Convert to fraction form
    544.77/751.78 = 296.09/x
  3. Step 3: Cross multiply
    544.77x = 751.78 × 296.09
  4. Step 4: Simplify right side
    544.77x = 222,594.54
  5. Step 5: Solve for x
    x = 222,594.54/544.77
  6. Step 6: Final answer
    x = 408.60

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Why These Related Problems?

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