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Finding the Fourth Proportional to 605.29, 907.53 and 297.22

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Solution

The fourth proportional to 605.29, 907.53 and 297.22 is: 445.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.29 : 907.53 = 297.22 : x
  2. Step 2: Convert to fraction form
    605.29/907.53 = 297.22/x
  3. Step 3: Cross multiply
    605.29x = 907.53 × 297.22
  4. Step 4: Simplify right side
    605.29x = 269,736.07
  5. Step 5: Solve for x
    x = 269,736.07/605.29
  6. Step 6: Final answer
    x = 445.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.