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Finding the Fourth Proportional to 512.12, 705.89 and 354.98

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Solution

The fourth proportional to 512.12, 705.89 and 354.98 is: 489.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.12 : 705.89 = 354.98 : x
  2. Step 2: Convert to fraction form
    512.12/705.89 = 354.98/x
  3. Step 3: Cross multiply
    512.12x = 705.89 × 354.98
  4. Step 4: Simplify right side
    512.12x = 250,571.53
  5. Step 5: Solve for x
    x = 250,571.53/512.12
  6. Step 6: Final answer
    x = 489.29

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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.