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Finding the Fourth Proportional to 446.70, 616.42 and 299.31

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Solution

The fourth proportional to 446.70, 616.42 and 299.31 is: 413.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.70 : 616.42 = 299.31 : x
  2. Step 2: Convert to fraction form
    446.70/616.42 = 299.31/x
  3. Step 3: Cross multiply
    446.70x = 616.42 × 299.31
  4. Step 4: Simplify right side
    446.70x = 184,500.67
  5. Step 5: Solve for x
    x = 184,500.67/446.70
  6. Step 6: Final answer
    x = 413.03

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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.