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Finding the Fourth Proportional to 605.22, 907.82 and 239.80

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Solution

The fourth proportional to 605.22, 907.82 and 239.80 is: 359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.22 : 907.82 = 239.80 : x
  2. Step 2: Convert to fraction form
    605.22/907.82 = 239.80/x
  3. Step 3: Cross multiply
    605.22x = 907.82 × 239.80
  4. Step 4: Simplify right side
    605.22x = 217,695.24
  5. Step 5: Solve for x
    x = 217,695.24/605.22
  6. Step 6: Final answer
    x = 359.70

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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.