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Finding the Fourth Proportional to 433.44, 648.80 and 342.32

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Solution

The fourth proportional to 433.44, 648.80 and 342.32 is: 512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.44 : 648.80 = 342.32 : x
  2. Step 2: Convert to fraction form
    433.44/648.80 = 342.32/x
  3. Step 3: Cross multiply
    433.44x = 648.80 × 342.32
  4. Step 4: Simplify right side
    433.44x = 222,097.22
  5. Step 5: Solve for x
    x = 222,097.22/433.44
  6. Step 6: Final answer
    x = 512.41

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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.