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Finding the Fourth Proportional to 433.70, 649.98 and 159.54

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Solution

The fourth proportional to 433.70, 649.98 and 159.54 is: 239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.70 : 649.98 = 159.54 : x
  2. Step 2: Convert to fraction form
    433.70/649.98 = 159.54/x
  3. Step 3: Cross multiply
    433.70x = 649.98 × 159.54
  4. Step 4: Simplify right side
    433.70x = 103,697.81
  5. Step 5: Solve for x
    x = 103,697.81/433.70
  6. Step 6: Final answer
    x = 239.10

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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.