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Finding the Fourth Proportional to 722.44, 996.91 and 427.65

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Solution

The fourth proportional to 722.44, 996.91 and 427.65 is: 590.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.44 : 996.91 = 427.65 : x
  2. Step 2: Convert to fraction form
    722.44/996.91 = 427.65/x
  3. Step 3: Cross multiply
    722.44x = 996.91 × 427.65
  4. Step 4: Simplify right side
    722.44x = 426,328.56
  5. Step 5: Solve for x
    x = 426,328.56/722.44
  6. Step 6: Final answer
    x = 590.12

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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.