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Finding the Fourth Proportional to 817.58, 1,226.46 and 269.64

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Solution

The fourth proportional to 817.58, 1,226.46 and 269.64 is: 404.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.58 : 1,226.46 = 269.64 : x
  2. Step 2: Convert to fraction form
    817.58/1,226.46 = 269.64/x
  3. Step 3: Cross multiply
    817.58x = 1,226.46 × 269.64
  4. Step 4: Simplify right side
    817.58x = 330,702.67
  5. Step 5: Solve for x
    x = 330,702.67/817.58
  6. Step 6: Final answer
    x = 404.49

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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.