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Finding the Fourth Proportional to 846.79, 1,270.20 and 230.47

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Solution

The fourth proportional to 846.79, 1,270.20 and 230.47 is: 345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.79 : 1,270.20 = 230.47 : x
  2. Step 2: Convert to fraction form
    846.79/1,270.20 = 230.47/x
  3. Step 3: Cross multiply
    846.79x = 1,270.20 × 230.47
  4. Step 4: Simplify right side
    846.79x = 292,742.99
  5. Step 5: Solve for x
    x = 292,742.99/846.79
  6. Step 6: Final answer
    x = 345.71

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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.