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Finding the Fourth Proportional to 489.23, 674.33 and 384.13

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Solution

The fourth proportional to 489.23, 674.33 and 384.13 is: 529.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.23 : 674.33 = 384.13 : x
  2. Step 2: Convert to fraction form
    489.23/674.33 = 384.13/x
  3. Step 3: Cross multiply
    489.23x = 674.33 × 384.13
  4. Step 4: Simplify right side
    489.23x = 259,026.78
  5. Step 5: Solve for x
    x = 259,026.78/489.23
  6. Step 6: Final answer
    x = 529.46

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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.