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Finding the Fourth Proportional to 392.10, 539.91 and 304.26

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Solution

The fourth proportional to 392.10, 539.91 and 304.26 is: 418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.10 : 539.91 = 304.26 : x
  2. Step 2: Convert to fraction form
    392.10/539.91 = 304.26/x
  3. Step 3: Cross multiply
    392.10x = 539.91 × 304.26
  4. Step 4: Simplify right side
    392.10x = 164,273.02
  5. Step 5: Solve for x
    x = 164,273.02/392.10
  6. Step 6: Final answer
    x = 418.96

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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.