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Finding the Fourth Proportional to 605.21, 907.65 and 297.18

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Solution

The fourth proportional to 605.21, 907.65 and 297.18 is: 445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.21 : 907.65 = 297.18 : x
  2. Step 2: Convert to fraction form
    605.21/907.65 = 297.18/x
  3. Step 3: Cross multiply
    605.21x = 907.65 × 297.18
  4. Step 4: Simplify right side
    605.21x = 269,735.43
  5. Step 5: Solve for x
    x = 269,735.43/605.21
  6. Step 6: Final answer
    x = 445.69

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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.