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Finding the Fourth Proportional to 493.47, 679.14 and 414.60

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Solution

The fourth proportional to 493.47, 679.14 and 414.60 is: 570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.47 : 679.14 = 414.60 : x
  2. Step 2: Convert to fraction form
    493.47/679.14 = 414.60/x
  3. Step 3: Cross multiply
    493.47x = 679.14 × 414.60
  4. Step 4: Simplify right side
    493.47x = 281,571.44
  5. Step 5: Solve for x
    x = 281,571.44/493.47
  6. Step 6: Final answer
    x = 570.59

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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.