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Finding the Fourth Proportional to 465.24, 698.15 and 270.33

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Solution

The fourth proportional to 465.24, 698.15 and 270.33 is: 405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.24 : 698.15 = 270.33 : x
  2. Step 2: Convert to fraction form
    465.24/698.15 = 270.33/x
  3. Step 3: Cross multiply
    465.24x = 698.15 × 270.33
  4. Step 4: Simplify right side
    465.24x = 188,728.32
  5. Step 5: Solve for x
    x = 188,728.32/465.24
  6. Step 6: Final answer
    x = 405.66

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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.