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Finding the Fourth Proportional to 467.46, 699.09 and 350.61

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Solution

The fourth proportional to 467.46, 699.09 and 350.61 is: 524.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.46 : 699.09 = 350.61 : x
  2. Step 2: Convert to fraction form
    467.46/699.09 = 350.61/x
  3. Step 3: Cross multiply
    467.46x = 699.09 × 350.61
  4. Step 4: Simplify right side
    467.46x = 245,107.94
  5. Step 5: Solve for x
    x = 245,107.94/467.46
  6. Step 6: Final answer
    x = 524.34

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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.