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Finding the Fourth Proportional to 446.50, 617.43 and 402.14

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Solution

The fourth proportional to 446.50, 617.43 and 402.14 is: 556.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.50 : 617.43 = 402.14 : x
  2. Step 2: Convert to fraction form
    446.50/617.43 = 402.14/x
  3. Step 3: Cross multiply
    446.50x = 617.43 × 402.14
  4. Step 4: Simplify right side
    446.50x = 248,293.30
  5. Step 5: Solve for x
    x = 248,293.30/446.50
  6. Step 6: Final answer
    x = 556.09

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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.