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Finding the Fourth Proportional to 489.60, 674.49 and 419.43

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Solution

The fourth proportional to 489.60, 674.49 and 419.43 is: 577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.60 : 674.49 = 419.43 : x
  2. Step 2: Convert to fraction form
    489.60/674.49 = 419.43/x
  3. Step 3: Cross multiply
    489.60x = 674.49 × 419.43
  4. Step 4: Simplify right side
    489.60x = 282,901.34
  5. Step 5: Solve for x
    x = 282,901.34/489.60
  6. Step 6: Final answer
    x = 577.82

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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.