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Finding the Fourth Proportional to 609.93, 914.41 and 544.17

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Solution

The fourth proportional to 609.93, 914.41 and 544.17 is: 815.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.93 : 914.41 = 544.17 : x
  2. Step 2: Convert to fraction form
    609.93/914.41 = 544.17/x
  3. Step 3: Cross multiply
    609.93x = 914.41 × 544.17
  4. Step 4: Simplify right side
    609.93x = 497,594.49
  5. Step 5: Solve for x
    x = 497,594.49/609.93
  6. Step 6: Final answer
    x = 815.82

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Why These Related Problems?

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