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Finding the Fourth Proportional to 605.92, 909.28 and 215.92

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Solution

The fourth proportional to 605.92, 909.28 and 215.92 is: 324.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.92 : 909.28 = 215.92 : x
  2. Step 2: Convert to fraction form
    605.92/909.28 = 215.92/x
  3. Step 3: Cross multiply
    605.92x = 909.28 × 215.92
  4. Step 4: Simplify right side
    605.92x = 196,331.74
  5. Step 5: Solve for x
    x = 196,331.74/605.92
  6. Step 6: Final answer
    x = 324.02

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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.