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Finding the Fourth Proportional to 304.40, 419.80 and 215.96

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Solution

The fourth proportional to 304.40, 419.80 and 215.96 is: 297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.40 : 419.80 = 215.96 : x
  2. Step 2: Convert to fraction form
    304.40/419.80 = 215.96/x
  3. Step 3: Cross multiply
    304.40x = 419.80 × 215.96
  4. Step 4: Simplify right side
    304.40x = 90,660.01
  5. Step 5: Solve for x
    x = 90,660.01/304.40
  6. Step 6: Final answer
    x = 297.83

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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.