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Finding the Fourth Proportional to 544.67, 751.96 and 420.09

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Solution

The fourth proportional to 544.67, 751.96 and 420.09 is: 579.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.67 : 751.96 = 420.09 : x
  2. Step 2: Convert to fraction form
    544.67/751.96 = 420.09/x
  3. Step 3: Cross multiply
    544.67x = 751.96 × 420.09
  4. Step 4: Simplify right side
    544.67x = 315,890.88
  5. Step 5: Solve for x
    x = 315,890.88/544.67
  6. Step 6: Final answer
    x = 579.97

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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.