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Finding the Fourth Proportional to 605.23, 907.94 and 297.11

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Solution

The fourth proportional to 605.23, 907.94 and 297.11 is: 445.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.23 : 907.94 = 297.11 : x
  2. Step 2: Convert to fraction form
    605.23/907.94 = 297.11/x
  3. Step 3: Cross multiply
    605.23x = 907.94 × 297.11
  4. Step 4: Simplify right side
    605.23x = 269,758.05
  5. Step 5: Solve for x
    x = 269,758.05/605.23
  6. Step 6: Final answer
    x = 445.71

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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.