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Finding the Fourth Proportional to 616.41, 842.00 and 612.36

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Solution

The fourth proportional to 616.41, 842.00 and 612.36 is: 836.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.41 : 842.00 = 612.36 : x
  2. Step 2: Convert to fraction form
    616.41/842.00 = 612.36/x
  3. Step 3: Cross multiply
    616.41x = 842.00 × 612.36
  4. Step 4: Simplify right side
    616.41x = 515,604.06
  5. Step 5: Solve for x
    x = 515,604.06/616.41
  6. Step 6: Final answer
    x = 836.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.