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Finding the Fourth Proportional to 433.13, 649.96 and 159.35

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Solution

The fourth proportional to 433.13, 649.96 and 159.35 is: 239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.13 : 649.96 = 159.35 : x
  2. Step 2: Convert to fraction form
    433.13/649.96 = 159.35/x
  3. Step 3: Cross multiply
    433.13x = 649.96 × 159.35
  4. Step 4: Simplify right side
    433.13x = 103,567.48
  5. Step 5: Solve for x
    x = 103,567.48/433.13
  6. Step 6: Final answer
    x = 239.12

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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.