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Finding the Fourth Proportional to 465.66, 642.06 and 299.88

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Solution

The fourth proportional to 465.66, 642.06 and 299.88 is: 413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.66 : 642.06 = 299.88 : x
  2. Step 2: Convert to fraction form
    465.66/642.06 = 299.88/x
  3. Step 3: Cross multiply
    465.66x = 642.06 × 299.88
  4. Step 4: Simplify right side
    465.66x = 192,540.95
  5. Step 5: Solve for x
    x = 192,540.95/465.66
  6. Step 6: Final answer
    x = 413.48

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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.