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Finding the Fourth Proportional to 297.43, 445.28 and 266.16

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Solution

The fourth proportional to 297.43, 445.28 and 266.16 is: 398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.43 : 445.28 = 266.16 : x
  2. Step 2: Convert to fraction form
    297.43/445.28 = 266.16/x
  3. Step 3: Cross multiply
    297.43x = 445.28 × 266.16
  4. Step 4: Simplify right side
    297.43x = 118,515.72
  5. Step 5: Solve for x
    x = 118,515.72/297.43
  6. Step 6: Final answer
    x = 398.47

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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.