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Finding the Fourth Proportional to 512.48, 767.90 and 409.22

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Solution

The fourth proportional to 512.48, 767.90 and 409.22 is: 613.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.48 : 767.90 = 409.22 : x
  2. Step 2: Convert to fraction form
    512.48/767.90 = 409.22/x
  3. Step 3: Cross multiply
    512.48x = 767.90 × 409.22
  4. Step 4: Simplify right side
    512.48x = 314,240.04
  5. Step 5: Solve for x
    x = 314,240.04/512.48
  6. Step 6: Final answer
    x = 613.18

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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.