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Finding the Fourth Proportional to 442.31, 662.29 and 285.71

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Solution

The fourth proportional to 442.31, 662.29 and 285.71 is: 427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.31 : 662.29 = 285.71 : x
  2. Step 2: Convert to fraction form
    442.31/662.29 = 285.71/x
  3. Step 3: Cross multiply
    442.31x = 662.29 × 285.71
  4. Step 4: Simplify right side
    442.31x = 189,218.85
  5. Step 5: Solve for x
    x = 189,218.85/442.31
  6. Step 6: Final answer
    x = 427.80

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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.