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Finding the Fourth Proportional to 616, 849.28 and 484.80

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Solution

The fourth proportional to 616, 849.28 and 484.80 is: 668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    616 : 849.28 = 484.80 : x
  2. Step 2: Convert to fraction form
    616/849.28 = 484.80/x
  3. Step 3: Cross multiply
    616x = 849.28 × 484.80
  4. Step 4: Simplify right side
    616x = 411,730.94
  5. Step 5: Solve for x
    x = 411,730.94/616
  6. Step 6: Final answer
    x = 668.39

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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.