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Finding the Fourth Proportional to 486.02, 670.64 and 299.56

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Solution

The fourth proportional to 486.02, 670.64 and 299.56 is: 413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.02 : 670.64 = 299.56 : x
  2. Step 2: Convert to fraction form
    486.02/670.64 = 299.56/x
  3. Step 3: Cross multiply
    486.02x = 670.64 × 299.56
  4. Step 4: Simplify right side
    486.02x = 200,896.92
  5. Step 5: Solve for x
    x = 200,896.92/486.02
  6. Step 6: Final answer
    x = 413.35

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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.