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Finding the Fourth Proportional to 512.36, 706.92 and 315.62

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Solution

The fourth proportional to 512.36, 706.92 and 315.62 is: 435.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.36 : 706.92 = 315.62 : x
  2. Step 2: Convert to fraction form
    512.36/706.92 = 315.62/x
  3. Step 3: Cross multiply
    512.36x = 706.92 × 315.62
  4. Step 4: Simplify right side
    512.36x = 223,118.09
  5. Step 5: Solve for x
    x = 223,118.09/512.36
  6. Step 6: Final answer
    x = 435.47

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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.