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Finding the Fourth Proportional to 386.99, 579.43 and 283.49

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Solution

The fourth proportional to 386.99, 579.43 and 283.49 is: 424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.99 : 579.43 = 283.49 : x
  2. Step 2: Convert to fraction form
    386.99/579.43 = 283.49/x
  3. Step 3: Cross multiply
    386.99x = 579.43 × 283.49
  4. Step 4: Simplify right side
    386.99x = 164,258.30
  5. Step 5: Solve for x
    x = 164,258.30/386.99
  6. Step 6: Final answer
    x = 424.46

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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.