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Finding the Fourth Proportional to 444.30, 665.37 and 313.98

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Solution

The fourth proportional to 444.30, 665.37 and 313.98 is: 470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.30 : 665.37 = 313.98 : x
  2. Step 2: Convert to fraction form
    444.30/665.37 = 313.98/x
  3. Step 3: Cross multiply
    444.30x = 665.37 × 313.98
  4. Step 4: Simplify right side
    444.30x = 208,912.87
  5. Step 5: Solve for x
    x = 208,912.87/444.30
  6. Step 6: Final answer
    x = 470.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.