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Finding the Fourth Proportional to 447.08, 616.96 and 300

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Solution

The fourth proportional to 447.08, 616.96 and 300 is: 413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.08 : 616.96 = 300 : x
  2. Step 2: Convert to fraction form
    447.08/616.96 = 300/x
  3. Step 3: Cross multiply
    447.08x = 616.96 × 300
  4. Step 4: Simplify right side
    447.08x = 185,088
  5. Step 5: Solve for x
    x = 185,088/447.08
  6. Step 6: Final answer
    x = 413.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.