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Finding the Fourth Proportional to 544.69, 751.68 and 296.02

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Solution

The fourth proportional to 544.69, 751.68 and 296.02 is: 408.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.69 : 751.68 = 296.02 : x
  2. Step 2: Convert to fraction form
    544.69/751.68 = 296.02/x
  3. Step 3: Cross multiply
    544.69x = 751.68 × 296.02
  4. Step 4: Simplify right side
    544.69x = 222,512.31
  5. Step 5: Solve for x
    x = 222,512.31/544.69
  6. Step 6: Final answer
    x = 408.51

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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.