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Finding the Fourth Proportional to 408.65, 612.66 and 264.07

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Solution

The fourth proportional to 408.65, 612.66 and 264.07 is: 395.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.65 : 612.66 = 264.07 : x
  2. Step 2: Convert to fraction form
    408.65/612.66 = 264.07/x
  3. Step 3: Cross multiply
    408.65x = 612.66 × 264.07
  4. Step 4: Simplify right side
    408.65x = 161,785.13
  5. Step 5: Solve for x
    x = 161,785.13/408.65
  6. Step 6: Final answer
    x = 395.90

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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.