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Finding the Fourth Proportional to 427.12, 585.96 and 406.46

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Solution

The fourth proportional to 427.12, 585.96 and 406.46 is: 557.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.12 : 585.96 = 406.46 : x
  2. Step 2: Convert to fraction form
    427.12/585.96 = 406.46/x
  3. Step 3: Cross multiply
    427.12x = 585.96 × 406.46
  4. Step 4: Simplify right side
    427.12x = 238,169.30
  5. Step 5: Solve for x
    x = 238,169.30/427.12
  6. Step 6: Final answer
    x = 557.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.