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Finding the Fourth Proportional to 610.58, 843.37 and 512.84

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Solution

The fourth proportional to 610.58, 843.37 and 512.84 is: 708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.58 : 843.37 = 512.84 : x
  2. Step 2: Convert to fraction form
    610.58/843.37 = 512.84/x
  3. Step 3: Cross multiply
    610.58x = 843.37 × 512.84
  4. Step 4: Simplify right side
    610.58x = 432,508.37
  5. Step 5: Solve for x
    x = 432,508.37/610.58
  6. Step 6: Final answer
    x = 708.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.