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Finding the Fourth Proportional to 493.90, 682.53 and 444.69

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Solution

The fourth proportional to 493.90, 682.53 and 444.69 is: 614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.90 : 682.53 = 444.69 : x
  2. Step 2: Convert to fraction form
    493.90/682.53 = 444.69/x
  3. Step 3: Cross multiply
    493.90x = 682.53 × 444.69
  4. Step 4: Simplify right side
    493.90x = 303,512.60
  5. Step 5: Solve for x
    x = 303,512.60/493.90
  6. Step 6: Final answer
    x = 614.53

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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.