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Finding the Fourth Proportional to 439.30, 606.30 and 282.16

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Solution

The fourth proportional to 439.30, 606.30 and 282.16 is: 389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.30 : 606.30 = 282.16 : x
  2. Step 2: Convert to fraction form
    439.30/606.30 = 282.16/x
  3. Step 3: Cross multiply
    439.30x = 606.30 × 282.16
  4. Step 4: Simplify right side
    439.30x = 171,070.58
  5. Step 5: Solve for x
    x = 171,070.58/439.30
  6. Step 6: Final answer
    x = 389.42

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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.