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Finding the Fourth Proportional to 489.69, 675.86 and 293.22

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Solution

The fourth proportional to 489.69, 675.86 and 293.22 is: 404.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.69 : 675.86 = 293.22 : x
  2. Step 2: Convert to fraction form
    489.69/675.86 = 293.22/x
  3. Step 3: Cross multiply
    489.69x = 675.86 × 293.22
  4. Step 4: Simplify right side
    489.69x = 198,174.20
  5. Step 5: Solve for x
    x = 198,174.20/489.69
  6. Step 6: Final answer
    x = 404.69

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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.