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Finding the Fourth Proportional to 490.06, 674.76 and 470.62

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Solution

The fourth proportional to 490.06, 674.76 and 470.62 is: 647.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.06 : 674.76 = 470.62 : x
  2. Step 2: Convert to fraction form
    490.06/674.76 = 470.62/x
  3. Step 3: Cross multiply
    490.06x = 674.76 × 470.62
  4. Step 4: Simplify right side
    490.06x = 317,555.55
  5. Step 5: Solve for x
    x = 317,555.55/490.06
  6. Step 6: Final answer
    x = 647.99

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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.