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Finding the Fourth Proportional to 838.67, 1,257.09 and 351.15

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Solution

The fourth proportional to 838.67, 1,257.09 and 351.15 is: 526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.67 : 1,257.09 = 351.15 : x
  2. Step 2: Convert to fraction form
    838.67/1,257.09 = 351.15/x
  3. Step 3: Cross multiply
    838.67x = 1,257.09 × 351.15
  4. Step 4: Simplify right side
    838.67x = 441,425.65
  5. Step 5: Solve for x
    x = 441,425.65/838.67
  6. Step 6: Final answer
    x = 526.34

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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.