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Finding the Fourth Proportional to 489.24, 674.96 and 302.37

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Solution

The fourth proportional to 489.24, 674.96 and 302.37 is: 417.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.24 : 674.96 = 302.37 : x
  2. Step 2: Convert to fraction form
    489.24/674.96 = 302.37/x
  3. Step 3: Cross multiply
    489.24x = 674.96 × 302.37
  4. Step 4: Simplify right side
    489.24x = 204,086.14
  5. Step 5: Solve for x
    x = 204,086.14/489.24
  6. Step 6: Final answer
    x = 417.15

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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.