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Finding the Fourth Proportional to 395.93, 546.36 and 218.88

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Solution

The fourth proportional to 395.93, 546.36 and 218.88 is: 302.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.93 : 546.36 = 218.88 : x
  2. Step 2: Convert to fraction form
    395.93/546.36 = 218.88/x
  3. Step 3: Cross multiply
    395.93x = 546.36 × 218.88
  4. Step 4: Simplify right side
    395.93x = 119,587.28
  5. Step 5: Solve for x
    x = 119,587.28/395.93
  6. Step 6: Final answer
    x = 302.04

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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.