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Finding the Fourth Proportional to 846.77, 1,270.17 and 230.54

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Solution

The fourth proportional to 846.77, 1,270.17 and 230.54 is: 345.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.77 : 1,270.17 = 230.54 : x
  2. Step 2: Convert to fraction form
    846.77/1,270.17 = 230.54/x
  3. Step 3: Cross multiply
    846.77x = 1,270.17 × 230.54
  4. Step 4: Simplify right side
    846.77x = 292,818.64
  5. Step 5: Solve for x
    x = 292,818.64/846.77
  6. Step 6: Final answer
    x = 345.81

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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.