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Finding the Fourth Proportional to 427.09, 586.82 and 339.61

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Solution

The fourth proportional to 427.09, 586.82 and 339.61 is: 466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.09 : 586.82 = 339.61 : x
  2. Step 2: Convert to fraction form
    427.09/586.82 = 339.61/x
  3. Step 3: Cross multiply
    427.09x = 586.82 × 339.61
  4. Step 4: Simplify right side
    427.09x = 199,287.01
  5. Step 5: Solve for x
    x = 199,287.01/427.09
  6. Step 6: Final answer
    x = 466.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.