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Finding the Fourth Proportional to 486.23, 670.76 and 299.66

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Solution

The fourth proportional to 486.23, 670.76 and 299.66 is: 413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.23 : 670.76 = 299.66 : x
  2. Step 2: Convert to fraction form
    486.23/670.76 = 299.66/x
  3. Step 3: Cross multiply
    486.23x = 670.76 × 299.66
  4. Step 4: Simplify right side
    486.23x = 200,999.94
  5. Step 5: Solve for x
    x = 200,999.94/486.23
  6. Step 6: Final answer
    x = 413.38

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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.