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Finding the Fourth Proportional to 512.49, 706.74 and 325.65

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Solution

The fourth proportional to 512.49, 706.74 and 325.65 is: 449.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.49 : 706.74 = 325.65 : x
  2. Step 2: Convert to fraction form
    512.49/706.74 = 325.65/x
  3. Step 3: Cross multiply
    512.49x = 706.74 × 325.65
  4. Step 4: Simplify right side
    512.49x = 230,149.88
  5. Step 5: Solve for x
    x = 230,149.88/512.49
  6. Step 6: Final answer
    x = 449.08

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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.