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Finding the Fourth Proportional to 828.29, 1,242.41 and 212.00

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Solution

The fourth proportional to 828.29, 1,242.41 and 212.00 is: 317.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.29 : 1,242.41 = 212.00 : x
  2. Step 2: Convert to fraction form
    828.29/1,242.41 = 212.00/x
  3. Step 3: Cross multiply
    828.29x = 1,242.41 × 212.00
  4. Step 4: Simplify right side
    828.29x = 263,383.65
  5. Step 5: Solve for x
    x = 263,383.65/828.29
  6. Step 6: Final answer
    x = 317.99

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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.