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Finding the Fourth Proportional to 665.84, 918.41 and 444.80

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Solution

The fourth proportional to 665.84, 918.41 and 444.80 is: 613.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.84 : 918.41 = 444.80 : x
  2. Step 2: Convert to fraction form
    665.84/918.41 = 444.80/x
  3. Step 3: Cross multiply
    665.84x = 918.41 × 444.80
  4. Step 4: Simplify right side
    665.84x = 408,501.95
  5. Step 5: Solve for x
    x = 408,501.95/665.84
  6. Step 6: Final answer
    x = 613.52

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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.