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Finding the Fourth Proportional to 665.41, 918.29 and 366.69

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Solution

The fourth proportional to 665.41, 918.29 and 366.69 is: 506.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.41 : 918.29 = 366.69 : x
  2. Step 2: Convert to fraction form
    665.41/918.29 = 366.69/x
  3. Step 3: Cross multiply
    665.41x = 918.29 × 366.69
  4. Step 4: Simplify right side
    665.41x = 336,727.30
  5. Step 5: Solve for x
    x = 336,727.30/665.41
  6. Step 6: Final answer
    x = 506.04

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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.