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Finding the Fourth Proportional to 493.39, 680.93 and 304.44

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Solution

The fourth proportional to 493.39, 680.93 and 304.44 is: 420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.39 : 680.93 = 304.44 : x
  2. Step 2: Convert to fraction form
    493.39/680.93 = 304.44/x
  3. Step 3: Cross multiply
    493.39x = 680.93 × 304.44
  4. Step 4: Simplify right side
    493.39x = 207,302.33
  5. Step 5: Solve for x
    x = 207,302.33/493.39
  6. Step 6: Final answer
    x = 420.16

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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.