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Finding the Fourth Proportional to 389, 583.50 and 244.82

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Solution

The fourth proportional to 389, 583.50 and 244.82 is: 367.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    389 : 583.50 = 244.82 : x
  2. Step 2: Convert to fraction form
    389/583.50 = 244.82/x
  3. Step 3: Cross multiply
    389x = 583.50 × 244.82
  4. Step 4: Simplify right side
    389x = 142,852.47
  5. Step 5: Solve for x
    x = 142,852.47/389
  6. Step 6: Final answer
    x = 367.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.