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Finding the Fourth Proportional to 489.52, 675.52 and 282.48

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Solution

The fourth proportional to 489.52, 675.52 and 282.48 is: 389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.52 : 675.52 = 282.48 : x
  2. Step 2: Convert to fraction form
    489.52/675.52 = 282.48/x
  3. Step 3: Cross multiply
    489.52x = 675.52 × 282.48
  4. Step 4: Simplify right side
    489.52x = 190,820.89
  5. Step 5: Solve for x
    x = 190,820.89/489.52
  6. Step 6: Final answer
    x = 389.81

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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.