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Finding the Fourth Proportional to 512.56, 706.96 and 325.88

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Solution

The fourth proportional to 512.56, 706.96 and 325.88 is: 449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.56 : 706.96 = 325.88 : x
  2. Step 2: Convert to fraction form
    512.56/706.96 = 325.88/x
  3. Step 3: Cross multiply
    512.56x = 706.96 × 325.88
  4. Step 4: Simplify right side
    512.56x = 230,384.12
  5. Step 5: Solve for x
    x = 230,384.12/512.56
  6. Step 6: Final answer
    x = 449.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.