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Finding the Fourth Proportional to 465.41, 696.75 and 344.22

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Solution

The fourth proportional to 465.41, 696.75 and 344.22 is: 515.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.41 : 696.75 = 344.22 : x
  2. Step 2: Convert to fraction form
    465.41/696.75 = 344.22/x
  3. Step 3: Cross multiply
    465.41x = 696.75 × 344.22
  4. Step 4: Simplify right side
    465.41x = 239,833.32
  5. Step 5: Solve for x
    x = 239,833.32/465.41
  6. Step 6: Final answer
    x = 515.31

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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.