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Finding the Fourth Proportional to 493.92, 679.86 and 457.47

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Solution

The fourth proportional to 493.92, 679.86 and 457.47 is: 629.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.92 : 679.86 = 457.47 : x
  2. Step 2: Convert to fraction form
    493.92/679.86 = 457.47/x
  3. Step 3: Cross multiply
    493.92x = 679.86 × 457.47
  4. Step 4: Simplify right side
    493.92x = 311,015.55
  5. Step 5: Solve for x
    x = 311,015.55/493.92
  6. Step 6: Final answer
    x = 629.69

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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.