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Finding the Fourth Proportional to 433.15, 649.91 and 346.39

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Solution

The fourth proportional to 433.15, 649.91 and 346.39 is: 519.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.15 : 649.91 = 346.39 : x
  2. Step 2: Convert to fraction form
    433.15/649.91 = 346.39/x
  3. Step 3: Cross multiply
    433.15x = 649.91 × 346.39
  4. Step 4: Simplify right side
    433.15x = 225,122.32
  5. Step 5: Solve for x
    x = 225,122.32/433.15
  6. Step 6: Final answer
    x = 519.73

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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.