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Finding the Fourth Proportional to 722.44, 997.10 and 427.87

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Solution

The fourth proportional to 722.44, 997.10 and 427.87 is: 590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.44 : 997.10 = 427.87 : x
  2. Step 2: Convert to fraction form
    722.44/997.10 = 427.87/x
  3. Step 3: Cross multiply
    722.44x = 997.10 × 427.87
  4. Step 4: Simplify right side
    722.44x = 426,629.18
  5. Step 5: Solve for x
    x = 426,629.18/722.44
  6. Step 6: Final answer
    x = 590.54

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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.