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Finding the Fourth Proportional to 817.34, 1,226.32 and 384.19

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Solution

The fourth proportional to 817.34, 1,226.32 and 384.19 is: 576.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.34 : 1,226.32 = 384.19 : x
  2. Step 2: Convert to fraction form
    817.34/1,226.32 = 384.19/x
  3. Step 3: Cross multiply
    817.34x = 1,226.32 × 384.19
  4. Step 4: Simplify right side
    817.34x = 471,135.85
  5. Step 5: Solve for x
    x = 471,135.85/817.34
  6. Step 6: Final answer
    x = 576.43

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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.