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Finding the Fourth Proportional to 704.82, 972.96 and 456.09

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Solution

The fourth proportional to 704.82, 972.96 and 456.09 is: 629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.82 : 972.96 = 456.09 : x
  2. Step 2: Convert to fraction form
    704.82/972.96 = 456.09/x
  3. Step 3: Cross multiply
    704.82x = 972.96 × 456.09
  4. Step 4: Simplify right side
    704.82x = 443,757.33
  5. Step 5: Solve for x
    x = 443,757.33/704.82
  6. Step 6: Final answer
    x = 629.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.