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Finding the Fourth Proportional to 305.82, 456.35 and 269.82

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Solution

The fourth proportional to 305.82, 456.35 and 269.82 is: 402.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.82 : 456.35 = 269.82 : x
  2. Step 2: Convert to fraction form
    305.82/456.35 = 269.82/x
  3. Step 3: Cross multiply
    305.82x = 456.35 × 269.82
  4. Step 4: Simplify right side
    305.82x = 123,133.03
  5. Step 5: Solve for x
    x = 123,133.03/305.82
  6. Step 6: Final answer
    x = 402.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.