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Finding the Fourth Proportional to 304.52, 420.30 and 206.44

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Solution

The fourth proportional to 304.52, 420.30 and 206.44 is: 284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.52 : 420.30 = 206.44 : x
  2. Step 2: Convert to fraction form
    304.52/420.30 = 206.44/x
  3. Step 3: Cross multiply
    304.52x = 420.30 × 206.44
  4. Step 4: Simplify right side
    304.52x = 86,766.73
  5. Step 5: Solve for x
    x = 86,766.73/304.52
  6. Step 6: Final answer
    x = 284.93

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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.