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Finding the Fourth Proportional to 465.96, 642.72 and 299.92

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Solution

The fourth proportional to 465.96, 642.72 and 299.92 is: 413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.96 : 642.72 = 299.92 : x
  2. Step 2: Convert to fraction form
    465.96/642.72 = 299.92/x
  3. Step 3: Cross multiply
    465.96x = 642.72 × 299.92
  4. Step 4: Simplify right side
    465.96x = 192,764.58
  5. Step 5: Solve for x
    x = 192,764.58/465.96
  6. Step 6: Final answer
    x = 413.69

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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.