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Finding the Fourth Proportional to 489, 675.66 and 384

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Solution

The fourth proportional to 489, 675.66 and 384 is: 530.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    489 : 675.66 = 384 : x
  2. Step 2: Convert to fraction form
    489/675.66 = 384/x
  3. Step 3: Cross multiply
    489x = 675.66 × 384
  4. Step 4: Simplify right side
    489x = 259,453.44
  5. Step 5: Solve for x
    x = 259,453.44/489
  6. Step 6: Final answer
    x = 530.58

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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.