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Finding the Fourth Proportional to 489.26, 675.20 and 365.33

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Solution

The fourth proportional to 489.26, 675.20 and 365.33 is: 504.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.26 : 675.20 = 365.33 : x
  2. Step 2: Convert to fraction form
    489.26/675.20 = 365.33/x
  3. Step 3: Cross multiply
    489.26x = 675.20 × 365.33
  4. Step 4: Simplify right side
    489.26x = 246,673.42
  5. Step 5: Solve for x
    x = 246,673.42/489.26
  6. Step 6: Final answer
    x = 504.17

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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.