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Finding the Fourth Proportional to 304.09, 419.21 and 216.61

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Solution

The fourth proportional to 304.09, 419.21 and 216.61 is: 298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.09 : 419.21 = 216.61 : x
  2. Step 2: Convert to fraction form
    304.09/419.21 = 216.61/x
  3. Step 3: Cross multiply
    304.09x = 419.21 × 216.61
  4. Step 4: Simplify right side
    304.09x = 90,804.00
  5. Step 5: Solve for x
    x = 90,804.00/304.09
  6. Step 6: Final answer
    x = 298.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.