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Finding the Fourth Proportional to 304.19, 419.69 and 210.83

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Solution

The fourth proportional to 304.19, 419.69 and 210.83 is: 290.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.19 : 419.69 = 210.83 : x
  2. Step 2: Convert to fraction form
    304.19/419.69 = 210.83/x
  3. Step 3: Cross multiply
    304.19x = 419.69 × 210.83
  4. Step 4: Simplify right side
    304.19x = 88,483.24
  5. Step 5: Solve for x
    x = 88,483.24/304.19
  6. Step 6: Final answer
    x = 290.88

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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.