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Finding the Fourth Proportional to 305.31, 456.90 and 249.83

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Solution

The fourth proportional to 305.31, 456.90 and 249.83 is: 373.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.31 : 456.90 = 249.83 : x
  2. Step 2: Convert to fraction form
    305.31/456.90 = 249.83/x
  3. Step 3: Cross multiply
    305.31x = 456.90 × 249.83
  4. Step 4: Simplify right side
    305.31x = 114,145.04
  5. Step 5: Solve for x
    x = 114,145.04/305.31
  6. Step 6: Final answer
    x = 373.87

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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.