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Finding the Fourth Proportional to 301.44, 415.80 and 252.54

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Solution

The fourth proportional to 301.44, 415.80 and 252.54 is: 348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.44 : 415.80 = 252.54 : x
  2. Step 2: Convert to fraction form
    301.44/415.80 = 252.54/x
  3. Step 3: Cross multiply
    301.44x = 415.80 × 252.54
  4. Step 4: Simplify right side
    301.44x = 105,006.13
  5. Step 5: Solve for x
    x = 105,006.13/301.44
  6. Step 6: Final answer
    x = 348.35

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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.