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Finding the Fourth Proportional to 722.12, 996.50 and 427.41

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Solution

The fourth proportional to 722.12, 996.50 and 427.41 is: 589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.12 : 996.50 = 427.41 : x
  2. Step 2: Convert to fraction form
    722.12/996.50 = 427.41/x
  3. Step 3: Cross multiply
    722.12x = 996.50 × 427.41
  4. Step 4: Simplify right side
    722.12x = 425,915.13
  5. Step 5: Solve for x
    x = 425,915.13/722.12
  6. Step 6: Final answer
    x = 589.82

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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.