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Finding the Fourth Proportional to 305.98, 458.22 and 273.58

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Solution

The fourth proportional to 305.98, 458.22 and 273.58 is: 409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.98 : 458.22 = 273.58 : x
  2. Step 2: Convert to fraction form
    305.98/458.22 = 273.58/x
  3. Step 3: Cross multiply
    305.98x = 458.22 × 273.58
  4. Step 4: Simplify right side
    305.98x = 125,359.83
  5. Step 5: Solve for x
    x = 125,359.83/305.98
  6. Step 6: Final answer
    x = 409.70

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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.