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Finding the Fourth Proportional to 304.47, 455.67 and 206.73

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Solution

The fourth proportional to 304.47, 455.67 and 206.73 is: 309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.47 : 455.67 = 206.73 : x
  2. Step 2: Convert to fraction form
    304.47/455.67 = 206.73/x
  3. Step 3: Cross multiply
    304.47x = 455.67 × 206.73
  4. Step 4: Simplify right side
    304.47x = 94,200.66
  5. Step 5: Solve for x
    x = 94,200.66/304.47
  6. Step 6: Final answer
    x = 309.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.