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Finding the Fourth Proportional to 304.20, 419.46 and 210.96

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Solution

The fourth proportional to 304.20, 419.46 and 210.96 is: 290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.20 : 419.46 = 210.96 : x
  2. Step 2: Convert to fraction form
    304.20/419.46 = 210.96/x
  3. Step 3: Cross multiply
    304.20x = 419.46 × 210.96
  4. Step 4: Simplify right side
    304.20x = 88,489.28
  5. Step 5: Solve for x
    x = 88,489.28/304.20
  6. Step 6: Final answer
    x = 290.89

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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.