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Finding the Fourth Proportional to 489.03, 674.97 and 302.49

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Solution

The fourth proportional to 489.03, 674.97 and 302.49 is: 417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.03 : 674.97 = 302.49 : x
  2. Step 2: Convert to fraction form
    489.03/674.97 = 302.49/x
  3. Step 3: Cross multiply
    489.03x = 674.97 × 302.49
  4. Step 4: Simplify right side
    489.03x = 204,171.68
  5. Step 5: Solve for x
    x = 204,171.68/489.03
  6. Step 6: Final answer
    x = 417.50

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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.