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Finding the Fourth Proportional to 704.21, 969.99 and 491.15

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Solution

The fourth proportional to 704.21, 969.99 and 491.15 is: 676.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.21 : 969.99 = 491.15 : x
  2. Step 2: Convert to fraction form
    704.21/969.99 = 491.15/x
  3. Step 3: Cross multiply
    704.21x = 969.99 × 491.15
  4. Step 4: Simplify right side
    704.21x = 476,406.68
  5. Step 5: Solve for x
    x = 476,406.68/704.21
  6. Step 6: Final answer
    x = 676.51

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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.