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Finding the Fourth Proportional to 838.12, 1,257.54 and 351.28

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Solution

The fourth proportional to 838.12, 1,257.54 and 351.28 is: 527.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.12 : 1,257.54 = 351.28 : x
  2. Step 2: Convert to fraction form
    838.12/1,257.54 = 351.28/x
  3. Step 3: Cross multiply
    838.12x = 1,257.54 × 351.28
  4. Step 4: Simplify right side
    838.12x = 441,748.65
  5. Step 5: Solve for x
    x = 441,748.65/838.12
  6. Step 6: Final answer
    x = 527.07

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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.