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Finding the Fourth Proportional to 433.92, 649.95 and 342.33

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Solution

The fourth proportional to 433.92, 649.95 and 342.33 is: 512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.92 : 649.95 = 342.33 : x
  2. Step 2: Convert to fraction form
    433.92/649.95 = 342.33/x
  3. Step 3: Cross multiply
    433.92x = 649.95 × 342.33
  4. Step 4: Simplify right side
    433.92x = 222,497.38
  5. Step 5: Solve for x
    x = 222,497.38/433.92
  6. Step 6: Final answer
    x = 512.76

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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.