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Finding the Fourth Proportional to 742.76, 1,113.91 and 309.81

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Solution

The fourth proportional to 742.76, 1,113.91 and 309.81 is: 464.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.76 : 1,113.91 = 309.81 : x
  2. Step 2: Convert to fraction form
    742.76/1,113.91 = 309.81/x
  3. Step 3: Cross multiply
    742.76x = 1,113.91 × 309.81
  4. Step 4: Simplify right side
    742.76x = 345,100.46
  5. Step 5: Solve for x
    x = 345,100.46/742.76
  6. Step 6: Final answer
    x = 464.62

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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.