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Finding the Fourth Proportional to 722.83, 997.36 and 412.43

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Solution

The fourth proportional to 722.83, 997.36 and 412.43 is: 569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.83 : 997.36 = 412.43 : x
  2. Step 2: Convert to fraction form
    722.83/997.36 = 412.43/x
  3. Step 3: Cross multiply
    722.83x = 997.36 × 412.43
  4. Step 4: Simplify right side
    722.83x = 411,339.12
  5. Step 5: Solve for x
    x = 411,339.12/722.83
  6. Step 6: Final answer
    x = 569.07

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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.