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Finding the Fourth Proportional to 489.14, 674.98 and 268.10

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Solution

The fourth proportional to 489.14, 674.98 and 268.10 is: 369.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.14 : 674.98 = 268.10 : x
  2. Step 2: Convert to fraction form
    489.14/674.98 = 268.10/x
  3. Step 3: Cross multiply
    489.14x = 674.98 × 268.10
  4. Step 4: Simplify right side
    489.14x = 180,962.14
  5. Step 5: Solve for x
    x = 180,962.14/489.14
  6. Step 6: Final answer
    x = 369.96

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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.