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Finding the Fourth Proportional to 704.53, 1,057.32 and 266.21

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Solution

The fourth proportional to 704.53, 1,057.32 and 266.21 is: 399.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.53 : 1,057.32 = 266.21 : x
  2. Step 2: Convert to fraction form
    704.53/1,057.32 = 266.21/x
  3. Step 3: Cross multiply
    704.53x = 1,057.32 × 266.21
  4. Step 4: Simplify right side
    704.53x = 281,469.16
  5. Step 5: Solve for x
    x = 281,469.16/704.53
  6. Step 6: Final answer
    x = 399.51

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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.