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Finding the Fourth Proportional to 939.84, 1,409.88 and 323.76

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Solution

The fourth proportional to 939.84, 1,409.88 and 323.76 is: 485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.84 : 1,409.88 = 323.76 : x
  2. Step 2: Convert to fraction form
    939.84/1,409.88 = 323.76/x
  3. Step 3: Cross multiply
    939.84x = 1,409.88 × 323.76
  4. Step 4: Simplify right side
    939.84x = 456,462.75
  5. Step 5: Solve for x
    x = 456,462.75/939.84
  6. Step 6: Final answer
    x = 485.68

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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.