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Finding the Fourth Proportional to 489.14, 674.70 and 314.18

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Solution

The fourth proportional to 489.14, 674.70 and 314.18 is: 433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.14 : 674.70 = 314.18 : x
  2. Step 2: Convert to fraction form
    489.14/674.70 = 314.18/x
  3. Step 3: Cross multiply
    489.14x = 674.70 × 314.18
  4. Step 4: Simplify right side
    489.14x = 211,977.25
  5. Step 5: Solve for x
    x = 211,977.25/489.14
  6. Step 6: Final answer
    x = 433.37

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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.