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Finding the Fourth Proportional to 605.29, 907.74 and 194.33

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Solution

The fourth proportional to 605.29, 907.74 and 194.33 is: 291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.29 : 907.74 = 194.33 : x
  2. Step 2: Convert to fraction form
    605.29/907.74 = 194.33/x
  3. Step 3: Cross multiply
    605.29x = 907.74 × 194.33
  4. Step 4: Simplify right side
    605.29x = 176,401.11
  5. Step 5: Solve for x
    x = 176,401.11/605.29
  6. Step 6: Final answer
    x = 291.43

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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.