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Finding the Fourth Proportional to 489.81, 675.98 and 280.01

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Solution

The fourth proportional to 489.81, 675.98 and 280.01 is: 386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.81 : 675.98 = 280.01 : x
  2. Step 2: Convert to fraction form
    489.81/675.98 = 280.01/x
  3. Step 3: Cross multiply
    489.81x = 675.98 × 280.01
  4. Step 4: Simplify right side
    489.81x = 189,276.38
  5. Step 5: Solve for x
    x = 189,276.38/489.81
  6. Step 6: Final answer
    x = 386.43

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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.