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Finding the Fourth Proportional to 433.70, 649.65 and 325.34

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Solution

The fourth proportional to 433.70, 649.65 and 325.34 is: 487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.70 : 649.65 = 325.34 : x
  2. Step 2: Convert to fraction form
    433.70/649.65 = 325.34/x
  3. Step 3: Cross multiply
    433.70x = 649.65 × 325.34
  4. Step 4: Simplify right side
    433.70x = 211,357.13
  5. Step 5: Solve for x
    x = 211,357.13/433.70
  6. Step 6: Final answer
    x = 487.33

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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.