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Finding the Fourth Proportional to 512.62, 705.96 and 466.49

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Solution

The fourth proportional to 512.62, 705.96 and 466.49 is: 642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.62 : 705.96 = 466.49 : x
  2. Step 2: Convert to fraction form
    512.62/705.96 = 466.49/x
  3. Step 3: Cross multiply
    512.62x = 705.96 × 466.49
  4. Step 4: Simplify right side
    512.62x = 329,325.05
  5. Step 5: Solve for x
    x = 329,325.05/512.62
  6. Step 6: Final answer
    x = 642.44

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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.