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Finding the Fourth Proportional to 493.59, 739.61 and 262.42

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Solution

The fourth proportional to 493.59, 739.61 and 262.42 is: 393.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.59 : 739.61 = 262.42 : x
  2. Step 2: Convert to fraction form
    493.59/739.61 = 262.42/x
  3. Step 3: Cross multiply
    493.59x = 739.61 × 262.42
  4. Step 4: Simplify right side
    493.59x = 194,083.45
  5. Step 5: Solve for x
    x = 194,083.45/493.59
  6. Step 6: Final answer
    x = 393.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.