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Finding the Fourth Proportional to 407.92, 612.06 and 215.56

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Solution

The fourth proportional to 407.92, 612.06 and 215.56 is: 323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.92 : 612.06 = 215.56 : x
  2. Step 2: Convert to fraction form
    407.92/612.06 = 215.56/x
  3. Step 3: Cross multiply
    407.92x = 612.06 × 215.56
  4. Step 4: Simplify right side
    407.92x = 131,935.65
  5. Step 5: Solve for x
    x = 131,935.65/407.92
  6. Step 6: Final answer
    x = 323.44

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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.