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Finding the Fourth Proportional to 721.66, 996.01 and 427.07

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Solution

The fourth proportional to 721.66, 996.01 and 427.07 is: 589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.66 : 996.01 = 427.07 : x
  2. Step 2: Convert to fraction form
    721.66/996.01 = 427.07/x
  3. Step 3: Cross multiply
    721.66x = 996.01 × 427.07
  4. Step 4: Simplify right side
    721.66x = 425,361.01
  5. Step 5: Solve for x
    x = 425,361.01/721.66
  6. Step 6: Final answer
    x = 589.42

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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.