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Finding the Fourth Proportional to 512.39, 706.75 and 372.98

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Solution

The fourth proportional to 512.39, 706.75 and 372.98 is: 514.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.39 : 706.75 = 372.98 : x
  2. Step 2: Convert to fraction form
    512.39/706.75 = 372.98/x
  3. Step 3: Cross multiply
    512.39x = 706.75 × 372.98
  4. Step 4: Simplify right side
    512.39x = 263,604.45
  5. Step 5: Solve for x
    x = 263,604.45/512.39
  6. Step 6: Final answer
    x = 514.46

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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.