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Finding the Fourth Proportional to 433.76, 650.44 and 159.65

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Solution

The fourth proportional to 433.76, 650.44 and 159.65 is: 239.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.76 : 650.44 = 159.65 : x
  2. Step 2: Convert to fraction form
    433.76/650.44 = 159.65/x
  3. Step 3: Cross multiply
    433.76x = 650.44 × 159.65
  4. Step 4: Simplify right side
    433.76x = 103,842.13
  5. Step 5: Solve for x
    x = 103,842.13/433.76
  6. Step 6: Final answer
    x = 239.40

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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.