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Finding the Fourth Proportional to 512.44, 706.96 and 315.61

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Solution

The fourth proportional to 512.44, 706.96 and 315.61 is: 435.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.44 : 706.96 = 315.61 : x
  2. Step 2: Convert to fraction form
    512.44/706.96 = 315.61/x
  3. Step 3: Cross multiply
    512.44x = 706.96 × 315.61
  4. Step 4: Simplify right side
    512.44x = 223,123.65
  5. Step 5: Solve for x
    x = 223,123.65/512.44
  6. Step 6: Final answer
    x = 435.41

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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.