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Finding the Fourth Proportional to 446.71, 616.38 and 299.56

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Solution

The fourth proportional to 446.71, 616.38 and 299.56 is: 413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.71 : 616.38 = 299.56 : x
  2. Step 2: Convert to fraction form
    446.71/616.38 = 299.56/x
  3. Step 3: Cross multiply
    446.71x = 616.38 × 299.56
  4. Step 4: Simplify right side
    446.71x = 184,642.79
  5. Step 5: Solve for x
    x = 184,642.79/446.71
  6. Step 6: Final answer
    x = 413.34

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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.