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Finding the Fourth Proportional to 489.48, 675.62 and 282.44

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Solution

The fourth proportional to 489.48, 675.62 and 282.44 is: 389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.48 : 675.62 = 282.44 : x
  2. Step 2: Convert to fraction form
    489.48/675.62 = 282.44/x
  3. Step 3: Cross multiply
    489.48x = 675.62 × 282.44
  4. Step 4: Simplify right side
    489.48x = 190,822.11
  5. Step 5: Solve for x
    x = 190,822.11/489.48
  6. Step 6: Final answer
    x = 389.85

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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.