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Finding the Fourth Proportional to 817.59, 1,226.41 and 384.44

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Solution

The fourth proportional to 817.59, 1,226.41 and 384.44 is: 576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.59 : 1,226.41 = 384.44 : x
  2. Step 2: Convert to fraction form
    817.59/1,226.41 = 384.44/x
  3. Step 3: Cross multiply
    817.59x = 1,226.41 × 384.44
  4. Step 4: Simplify right side
    817.59x = 471,478.96
  5. Step 5: Solve for x
    x = 471,478.96/817.59
  6. Step 6: Final answer
    x = 576.67

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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.