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Finding the Fourth Proportional to 722.15, 996.40 and 427.26

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Solution

The fourth proportional to 722.15, 996.40 and 427.26 is: 589.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.15 : 996.40 = 427.26 : x
  2. Step 2: Convert to fraction form
    722.15/996.40 = 427.26/x
  3. Step 3: Cross multiply
    722.15x = 996.40 × 427.26
  4. Step 4: Simplify right side
    722.15x = 425,721.86
  5. Step 5: Solve for x
    x = 425,721.86/722.15
  6. Step 6: Final answer
    x = 589.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.