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Finding the Fourth Proportional to 713.06, 984.21 and 480.68

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Solution

The fourth proportional to 713.06, 984.21 and 480.68 is: 663.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.06 : 984.21 = 480.68 : x
  2. Step 2: Convert to fraction form
    713.06/984.21 = 480.68/x
  3. Step 3: Cross multiply
    713.06x = 984.21 × 480.68
  4. Step 4: Simplify right side
    713.06x = 473,090.06
  5. Step 5: Solve for x
    x = 473,090.06/713.06
  6. Step 6: Final answer
    x = 663.46

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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.