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Finding the Fourth Proportional to 489.58, 675.95 and 385.09

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Solution

The fourth proportional to 489.58, 675.95 and 385.09 is: 531.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.58 : 675.95 = 385.09 : x
  2. Step 2: Convert to fraction form
    489.58/675.95 = 385.09/x
  3. Step 3: Cross multiply
    489.58x = 675.95 × 385.09
  4. Step 4: Simplify right side
    489.58x = 260,297.97
  5. Step 5: Solve for x
    x = 260,297.97/489.58
  6. Step 6: Final answer
    x = 531.68

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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.