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Finding the Fourth Proportional to 665.11, 918.23 and 416.56

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Solution

The fourth proportional to 665.11, 918.23 and 416.56 is: 575.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.11 : 918.23 = 416.56 : x
  2. Step 2: Convert to fraction form
    665.11/918.23 = 416.56/x
  3. Step 3: Cross multiply
    665.11x = 918.23 × 416.56
  4. Step 4: Simplify right side
    665.11x = 382,497.89
  5. Step 5: Solve for x
    x = 382,497.89/665.11
  6. Step 6: Final answer
    x = 575.09

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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.