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Finding the Fourth Proportional to 481.70, 664.34 and 313.69

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Solution

The fourth proportional to 481.70, 664.34 and 313.69 is: 432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.70 : 664.34 = 313.69 : x
  2. Step 2: Convert to fraction form
    481.70/664.34 = 313.69/x
  3. Step 3: Cross multiply
    481.70x = 664.34 × 313.69
  4. Step 4: Simplify right side
    481.70x = 208,395.25
  5. Step 5: Solve for x
    x = 208,395.25/481.70
  6. Step 6: Final answer
    x = 432.63

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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.