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Finding the Fourth Proportional to 468.54, 704.33 and 453.96

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Solution

The fourth proportional to 468.54, 704.33 and 453.96 is: 682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.54 : 704.33 = 453.96 : x
  2. Step 2: Convert to fraction form
    468.54/704.33 = 453.96/x
  3. Step 3: Cross multiply
    468.54x = 704.33 × 453.96
  4. Step 4: Simplify right side
    468.54x = 319,735.38
  5. Step 5: Solve for x
    x = 319,735.38/468.54
  6. Step 6: Final answer
    x = 682.41

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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.