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Finding the Fourth Proportional to 465.22, 694.22 and 410.41

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Solution

The fourth proportional to 465.22, 694.22 and 410.41 is: 612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.22 : 694.22 = 410.41 : x
  2. Step 2: Convert to fraction form
    465.22/694.22 = 410.41/x
  3. Step 3: Cross multiply
    465.22x = 694.22 × 410.41
  4. Step 4: Simplify right side
    465.22x = 284,914.83
  5. Step 5: Solve for x
    x = 284,914.83/465.22
  6. Step 6: Final answer
    x = 612.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.