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Finding the Fourth Proportional to 489.86, 674.24 and 406.02

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Solution

The fourth proportional to 489.86, 674.24 and 406.02 is: 558.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.86 : 674.24 = 406.02 : x
  2. Step 2: Convert to fraction form
    489.86/674.24 = 406.02/x
  3. Step 3: Cross multiply
    489.86x = 674.24 × 406.02
  4. Step 4: Simplify right side
    489.86x = 273,754.92
  5. Step 5: Solve for x
    x = 273,754.92/489.86
  6. Step 6: Final answer
    x = 558.84

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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.