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Finding the Fourth Proportional to 722.24, 1,083.38 and 310.96

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Solution

The fourth proportional to 722.24, 1,083.38 and 310.96 is: 466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.24 : 1,083.38 = 310.96 : x
  2. Step 2: Convert to fraction form
    722.24/1,083.38 = 310.96/x
  3. Step 3: Cross multiply
    722.24x = 1,083.38 × 310.96
  4. Step 4: Simplify right side
    722.24x = 336,887.84
  5. Step 5: Solve for x
    x = 336,887.84/722.24
  6. Step 6: Final answer
    x = 466.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.