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Finding the Fourth Proportional to 439.51, 606.27 and 284.26

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Solution

The fourth proportional to 439.51, 606.27 and 284.26 is: 392.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.51 : 606.27 = 284.26 : x
  2. Step 2: Convert to fraction form
    439.51/606.27 = 284.26/x
  3. Step 3: Cross multiply
    439.51x = 606.27 × 284.26
  4. Step 4: Simplify right side
    439.51x = 172,338.31
  5. Step 5: Solve for x
    x = 172,338.31/439.51
  6. Step 6: Final answer
    x = 392.11

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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.