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Finding the Fourth Proportional to 433.16, 649.84 and 159.34

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Solution

The fourth proportional to 433.16, 649.84 and 159.34 is: 239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.16 : 649.84 = 159.34 : x
  2. Step 2: Convert to fraction form
    433.16/649.84 = 159.34/x
  3. Step 3: Cross multiply
    433.16x = 649.84 × 159.34
  4. Step 4: Simplify right side
    433.16x = 103,545.51
  5. Step 5: Solve for x
    x = 103,545.51/433.16
  6. Step 6: Final answer
    x = 239.05

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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.