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Finding the Fourth Proportional to 433.85, 650.87 and 160.01

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Solution

The fourth proportional to 433.85, 650.87 and 160.01 is: 240.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.85 : 650.87 = 160.01 : x
  2. Step 2: Convert to fraction form
    433.85/650.87 = 160.01/x
  3. Step 3: Cross multiply
    433.85x = 650.87 × 160.01
  4. Step 4: Simplify right side
    433.85x = 104,142.85
  5. Step 5: Solve for x
    x = 104,142.85/433.85
  6. Step 6: Final answer
    x = 240.04

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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.