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Finding the Fourth Proportional to 489.24, 675.28 and 282.24

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Solution

The fourth proportional to 489.24, 675.28 and 282.24 is: 389.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.24 : 675.28 = 282.24 : x
  2. Step 2: Convert to fraction form
    489.24/675.28 = 282.24/x
  3. Step 3: Cross multiply
    489.24x = 675.28 × 282.24
  4. Step 4: Simplify right side
    489.24x = 190,591.03
  5. Step 5: Solve for x
    x = 190,591.03/489.24
  6. Step 6: Final answer
    x = 389.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.