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Finding the Fourth Proportional to 465.95, 697.28 and 408.85

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Solution

The fourth proportional to 465.95, 697.28 and 408.85 is: 611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.95 : 697.28 = 408.85 : x
  2. Step 2: Convert to fraction form
    465.95/697.28 = 408.85/x
  3. Step 3: Cross multiply
    465.95x = 697.28 × 408.85
  4. Step 4: Simplify right side
    465.95x = 285,079.14
  5. Step 5: Solve for x
    x = 285,079.14/465.95
  6. Step 6: Final answer
    x = 611.82

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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.