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Finding the Fourth Proportional to 512.64, 768.24 and 290.06

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Solution

The fourth proportional to 512.64, 768.24 and 290.06 is: 434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.64 : 768.24 = 290.06 : x
  2. Step 2: Convert to fraction form
    512.64/768.24 = 290.06/x
  3. Step 3: Cross multiply
    512.64x = 768.24 × 290.06
  4. Step 4: Simplify right side
    512.64x = 222,835.69
  5. Step 5: Solve for x
    x = 222,835.69/512.64
  6. Step 6: Final answer
    x = 434.68

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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.