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Finding the Fourth Proportional to 442.68, 662.91 and 288.12

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Solution

The fourth proportional to 442.68, 662.91 and 288.12 is: 431.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.68 : 662.91 = 288.12 : x
  2. Step 2: Convert to fraction form
    442.68/662.91 = 288.12/x
  3. Step 3: Cross multiply
    442.68x = 662.91 × 288.12
  4. Step 4: Simplify right side
    442.68x = 190,997.63
  5. Step 5: Solve for x
    x = 190,997.63/442.68
  6. Step 6: Final answer
    x = 431.46

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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.