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Finding the Fourth Proportional to 512.11, 705.70 and 364.49

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Solution

The fourth proportional to 512.11, 705.70 and 364.49 is: 502.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.11 : 705.70 = 364.49 : x
  2. Step 2: Convert to fraction form
    512.11/705.70 = 364.49/x
  3. Step 3: Cross multiply
    512.11x = 705.70 × 364.49
  4. Step 4: Simplify right side
    512.11x = 257,220.59
  5. Step 5: Solve for x
    x = 257,220.59/512.11
  6. Step 6: Final answer
    x = 502.28

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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.