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Finding the Fourth Proportional to 809.42, 1,213.98 and 370.53

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Solution

The fourth proportional to 809.42, 1,213.98 and 370.53 is: 555.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.42 : 1,213.98 = 370.53 : x
  2. Step 2: Convert to fraction form
    809.42/1,213.98 = 370.53/x
  3. Step 3: Cross multiply
    809.42x = 1,213.98 × 370.53
  4. Step 4: Simplify right side
    809.42x = 449,816.01
  5. Step 5: Solve for x
    x = 449,816.01/809.42
  6. Step 6: Final answer
    x = 555.73

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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.