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Finding the Fourth Proportional to 489.68, 675.72 and 293.12

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Solution

The fourth proportional to 489.68, 675.72 and 293.12 is: 404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.68 : 675.72 = 293.12 : x
  2. Step 2: Convert to fraction form
    489.68/675.72 = 293.12/x
  3. Step 3: Cross multiply
    489.68x = 675.72 × 293.12
  4. Step 4: Simplify right side
    489.68x = 198,067.05
  5. Step 5: Solve for x
    x = 198,067.05/489.68
  6. Step 6: Final answer
    x = 404.48

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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.