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Finding the Fourth Proportional to 439.80, 606.81 and 282.36

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Solution

The fourth proportional to 439.80, 606.81 and 282.36 is: 389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.80 : 606.81 = 282.36 : x
  2. Step 2: Convert to fraction form
    439.80/606.81 = 282.36/x
  3. Step 3: Cross multiply
    439.80x = 606.81 × 282.36
  4. Step 4: Simplify right side
    439.80x = 171,338.87
  5. Step 5: Solve for x
    x = 171,338.87/439.80
  6. Step 6: Final answer
    x = 389.58

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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.