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Finding the Fourth Proportional to 439.51, 606.54 and 284.26

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Solution

The fourth proportional to 439.51, 606.54 and 284.26 is: 392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.51 : 606.54 = 284.26 : x
  2. Step 2: Convert to fraction form
    439.51/606.54 = 284.26/x
  3. Step 3: Cross multiply
    439.51x = 606.54 × 284.26
  4. Step 4: Simplify right side
    439.51x = 172,415.06
  5. Step 5: Solve for x
    x = 172,415.06/439.51
  6. Step 6: Final answer
    x = 392.29

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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.