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Finding the Fourth Proportional to 512.22, 766.70 and 409.62

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Solution

The fourth proportional to 512.22, 766.70 and 409.62 is: 613.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.22 : 766.70 = 409.62 : x
  2. Step 2: Convert to fraction form
    512.22/766.70 = 409.62/x
  3. Step 3: Cross multiply
    512.22x = 766.70 × 409.62
  4. Step 4: Simplify right side
    512.22x = 314,055.65
  5. Step 5: Solve for x
    x = 314,055.65/512.22
  6. Step 6: Final answer
    x = 613.13

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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.