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Finding the Fourth Proportional to 485.94, 670.76 and 299.43

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Solution

The fourth proportional to 485.94, 670.76 and 299.43 is: 413.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.94 : 670.76 = 299.43 : x
  2. Step 2: Convert to fraction form
    485.94/670.76 = 299.43/x
  3. Step 3: Cross multiply
    485.94x = 670.76 × 299.43
  4. Step 4: Simplify right side
    485.94x = 200,845.67
  5. Step 5: Solve for x
    x = 200,845.67/485.94
  6. Step 6: Final answer
    x = 413.31

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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.