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Finding the Fourth Proportional to 569.73, 785.21 and 422.12

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Solution

The fourth proportional to 569.73, 785.21 and 422.12 is: 581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.73 : 785.21 = 422.12 : x
  2. Step 2: Convert to fraction form
    569.73/785.21 = 422.12/x
  3. Step 3: Cross multiply
    569.73x = 785.21 × 422.12
  4. Step 4: Simplify right side
    569.73x = 331,446.81
  5. Step 5: Solve for x
    x = 331,446.81/569.73
  6. Step 6: Final answer
    x = 581.76

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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.