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Finding the Fourth Proportional to 493.09, 680.46 and 272.03

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Solution

The fourth proportional to 493.09, 680.46 and 272.03 is: 375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.09 : 680.46 = 272.03 : x
  2. Step 2: Convert to fraction form
    493.09/680.46 = 272.03/x
  3. Step 3: Cross multiply
    493.09x = 680.46 × 272.03
  4. Step 4: Simplify right side
    493.09x = 185,106.21
  5. Step 5: Solve for x
    x = 185,106.21/493.09
  6. Step 6: Final answer
    x = 375.40

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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.