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Finding the Fourth Proportional to 493.20, 735.81 and 444

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Solution

The fourth proportional to 493.20, 735.81 and 444 is: 662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.20 : 735.81 = 444 : x
  2. Step 2: Convert to fraction form
    493.20/735.81 = 444/x
  3. Step 3: Cross multiply
    493.20x = 735.81 × 444
  4. Step 4: Simplify right side
    493.20x = 326,699.64
  5. Step 5: Solve for x
    x = 326,699.64/493.20
  6. Step 6: Final answer
    x = 662.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.