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Finding the Fourth Proportional to 336.52, 504.64 and 219.27

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Solution

The fourth proportional to 336.52, 504.64 and 219.27 is: 328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.52 : 504.64 = 219.27 : x
  2. Step 2: Convert to fraction form
    336.52/504.64 = 219.27/x
  3. Step 3: Cross multiply
    336.52x = 504.64 × 219.27
  4. Step 4: Simplify right side
    336.52x = 110,654.58
  5. Step 5: Solve for x
    x = 110,654.58/336.52
  6. Step 6: Final answer
    x = 328.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.