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Finding the Fourth Proportional to 489.61, 675.73 and 279.83

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Solution

The fourth proportional to 489.61, 675.73 and 279.83 is: 386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.61 : 675.73 = 279.83 : x
  2. Step 2: Convert to fraction form
    489.61/675.73 = 279.83/x
  3. Step 3: Cross multiply
    489.61x = 675.73 × 279.83
  4. Step 4: Simplify right side
    489.61x = 189,084.75
  5. Step 5: Solve for x
    x = 189,084.75/489.61
  6. Step 6: Final answer
    x = 386.20

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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.