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Finding the Fourth Proportional to 392.69, 541.85 and 218.00

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Solution

The fourth proportional to 392.69, 541.85 and 218.00 is: 300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.69 : 541.85 = 218.00 : x
  2. Step 2: Convert to fraction form
    392.69/541.85 = 218.00/x
  3. Step 3: Cross multiply
    392.69x = 541.85 × 218.00
  4. Step 4: Simplify right side
    392.69x = 118,119.50
  5. Step 5: Solve for x
    x = 118,119.50/392.69
  6. Step 6: Final answer
    x = 300.80

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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.