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Finding the Fourth Proportional to 605.52, 911.03 and 362.23

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Solution

The fourth proportional to 605.52, 911.03 and 362.23 is: 544.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.52 : 911.03 = 362.23 : x
  2. Step 2: Convert to fraction form
    605.52/911.03 = 362.23/x
  3. Step 3: Cross multiply
    605.52x = 911.03 × 362.23
  4. Step 4: Simplify right side
    605.52x = 330,002.40
  5. Step 5: Solve for x
    x = 330,002.40/605.52
  6. Step 6: Final answer
    x = 544.99

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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.