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Finding the Fourth Proportional to 817.60, 1,226.40 and 232.64

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Solution

The fourth proportional to 817.60, 1,226.40 and 232.64 is: 348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.60 : 1,226.40 = 232.64 : x
  2. Step 2: Convert to fraction form
    817.60/1,226.40 = 232.64/x
  3. Step 3: Cross multiply
    817.60x = 1,226.40 × 232.64
  4. Step 4: Simplify right side
    817.60x = 285,309.70
  5. Step 5: Solve for x
    x = 285,309.70/817.60
  6. Step 6: Final answer
    x = 348.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.