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Finding the Fourth Proportional to 817.46, 1,226.40 and 297.75

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Solution

The fourth proportional to 817.46, 1,226.40 and 297.75 is: 446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.46 : 1,226.40 = 297.75 : x
  2. Step 2: Convert to fraction form
    817.46/1,226.40 = 297.75/x
  3. Step 3: Cross multiply
    817.46x = 1,226.40 × 297.75
  4. Step 4: Simplify right side
    817.46x = 365,154.88
  5. Step 5: Solve for x
    x = 365,154.88/817.46
  6. Step 6: Final answer
    x = 446.69

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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.