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Finding the Fourth Proportional to 512.01, 706.37 and 356.85

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Solution

The fourth proportional to 512.01, 706.37 and 356.85 is: 492.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.01 : 706.37 = 356.85 : x
  2. Step 2: Convert to fraction form
    512.01/706.37 = 356.85/x
  3. Step 3: Cross multiply
    512.01x = 706.37 × 356.85
  4. Step 4: Simplify right side
    512.01x = 252,066.35
  5. Step 5: Solve for x
    x = 252,066.35/512.01
  6. Step 6: Final answer
    x = 492.31

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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.