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Finding the Fourth Proportional to 616.73, 851.73 and 533.44

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Solution

The fourth proportional to 616.73, 851.73 and 533.44 is: 736.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.73 : 851.73 = 533.44 : x
  2. Step 2: Convert to fraction form
    616.73/851.73 = 533.44/x
  3. Step 3: Cross multiply
    616.73x = 851.73 × 533.44
  4. Step 4: Simplify right side
    616.73x = 454,342.59
  5. Step 5: Solve for x
    x = 454,342.59/616.73
  6. Step 6: Final answer
    x = 736.70

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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.