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Finding the Fourth Proportional to 722.31, 996.89 and 427.67

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Solution

The fourth proportional to 722.31, 996.89 and 427.67 is: 590.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.31 : 996.89 = 427.67 : x
  2. Step 2: Convert to fraction form
    722.31/996.89 = 427.67/x
  3. Step 3: Cross multiply
    722.31x = 996.89 × 427.67
  4. Step 4: Simplify right side
    722.31x = 426,332.82
  5. Step 5: Solve for x
    x = 426,332.82/722.31
  6. Step 6: Final answer
    x = 590.24

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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.