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Finding the Fourth Proportional to 304.48, 419.94 and 206.20

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Solution

The fourth proportional to 304.48, 419.94 and 206.20 is: 284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.48 : 419.94 = 206.20 : x
  2. Step 2: Convert to fraction form
    304.48/419.94 = 206.20/x
  3. Step 3: Cross multiply
    304.48x = 419.94 × 206.20
  4. Step 4: Simplify right side
    304.48x = 86,591.63
  5. Step 5: Solve for x
    x = 86,591.63/304.48
  6. Step 6: Final answer
    x = 284.39

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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.