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Finding the Fourth Proportional to 439.34, 606.42 and 282.02

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Solution

The fourth proportional to 439.34, 606.42 and 282.02 is: 389.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.34 : 606.42 = 282.02 : x
  2. Step 2: Convert to fraction form
    439.34/606.42 = 282.02/x
  3. Step 3: Cross multiply
    439.34x = 606.42 × 282.02
  4. Step 4: Simplify right side
    439.34x = 171,019.54
  5. Step 5: Solve for x
    x = 171,019.54/439.34
  6. Step 6: Final answer
    x = 389.27

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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.