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Finding the Fourth Proportional to 433.42, 650.04 and 159.44

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Solution

The fourth proportional to 433.42, 650.04 and 159.44 is: 239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.42 : 650.04 = 159.44 : x
  2. Step 2: Convert to fraction form
    433.42/650.04 = 159.44/x
  3. Step 3: Cross multiply
    433.42x = 650.04 × 159.44
  4. Step 4: Simplify right side
    433.42x = 103,642.38
  5. Step 5: Solve for x
    x = 103,642.38/433.42
  6. Step 6: Final answer
    x = 239.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.