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Finding the Fourth Proportional to 936.94, 1,405.65 and 320.68

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Solution

The fourth proportional to 936.94, 1,405.65 and 320.68 is: 481.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.94 : 1,405.65 = 320.68 : x
  2. Step 2: Convert to fraction form
    936.94/1,405.65 = 320.68/x
  3. Step 3: Cross multiply
    936.94x = 1,405.65 × 320.68
  4. Step 4: Simplify right side
    936.94x = 450,770.76
  5. Step 5: Solve for x
    x = 450,770.76/936.94
  6. Step 6: Final answer
    x = 481.11

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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.