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Finding the Fourth Proportional to 963.27, 1,444.56 and 346.81

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Solution

The fourth proportional to 963.27, 1,444.56 and 346.81 is: 520.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.27 : 1,444.56 = 346.81 : x
  2. Step 2: Convert to fraction form
    963.27/1,444.56 = 346.81/x
  3. Step 3: Cross multiply
    963.27x = 1,444.56 × 346.81
  4. Step 4: Simplify right side
    963.27x = 500,990.96
  5. Step 5: Solve for x
    x = 500,990.96/963.27
  6. Step 6: Final answer
    x = 520.09

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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.