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Finding the Fourth Proportional to 701.24, 968.09 and 480.51

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Solution

The fourth proportional to 701.24, 968.09 and 480.51 is: 663.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.24 : 968.09 = 480.51 : x
  2. Step 2: Convert to fraction form
    701.24/968.09 = 480.51/x
  3. Step 3: Cross multiply
    701.24x = 968.09 × 480.51
  4. Step 4: Simplify right side
    701.24x = 465,174.52
  5. Step 5: Solve for x
    x = 465,174.52/701.24
  6. Step 6: Final answer
    x = 663.36

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