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Finding the Fourth Proportional to 963.93, 1,446.20 and 305.91

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Solution

The fourth proportional to 963.93, 1,446.20 and 305.91 is: 458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.93 : 1,446.20 = 305.91 : x
  2. Step 2: Convert to fraction form
    963.93/1,446.20 = 305.91/x
  3. Step 3: Cross multiply
    963.93x = 1,446.20 × 305.91
  4. Step 4: Simplify right side
    963.93x = 442,405.51
  5. Step 5: Solve for x
    x = 442,405.51/963.93
  6. Step 6: Final answer
    x = 458.96

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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.