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Finding the Fourth Proportional to 489.82, 675.88 and 280.03

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Solution

The fourth proportional to 489.82, 675.88 and 280.03 is: 386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.82 : 675.88 = 280.03 : x
  2. Step 2: Convert to fraction form
    489.82/675.88 = 280.03/x
  3. Step 3: Cross multiply
    489.82x = 675.88 × 280.03
  4. Step 4: Simplify right side
    489.82x = 189,266.68
  5. Step 5: Solve for x
    x = 189,266.68/489.82
  6. Step 6: Final answer
    x = 386.40

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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.