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Finding the Fourth Proportional to 465.33, 697.09 and 319.06

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Solution

The fourth proportional to 465.33, 697.09 and 319.06 is: 477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.33 : 697.09 = 319.06 : x
  2. Step 2: Convert to fraction form
    465.33/697.09 = 319.06/x
  3. Step 3: Cross multiply
    465.33x = 697.09 × 319.06
  4. Step 4: Simplify right side
    465.33x = 222,413.54
  5. Step 5: Solve for x
    x = 222,413.54/465.33
  6. Step 6: Final answer
    x = 477.97

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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.