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Finding the Fourth Proportional to 465.80, 697.31 and 445.75

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Solution

The fourth proportional to 465.80, 697.31 and 445.75 is: 667.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.80 : 697.31 = 445.75 : x
  2. Step 2: Convert to fraction form
    465.80/697.31 = 445.75/x
  3. Step 3: Cross multiply
    465.80x = 697.31 × 445.75
  4. Step 4: Simplify right side
    465.80x = 310,825.93
  5. Step 5: Solve for x
    x = 310,825.93/465.80
  6. Step 6: Final answer
    x = 667.29

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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.