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Finding the Fourth Proportional to 465.56, 699.22 and 445.08

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Solution

The fourth proportional to 465.56, 699.22 and 445.08 is: 668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.56 : 699.22 = 445.08 : x
  2. Step 2: Convert to fraction form
    465.56/699.22 = 445.08/x
  3. Step 3: Cross multiply
    465.56x = 699.22 × 445.08
  4. Step 4: Simplify right side
    465.56x = 311,208.84
  5. Step 5: Solve for x
    x = 311,208.84/465.56
  6. Step 6: Final answer
    x = 668.46

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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.