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Finding the Fourth Proportional to 616.30, 849.18 and 476.44

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Solution

The fourth proportional to 616.30, 849.18 and 476.44 is: 656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.30 : 849.18 = 476.44 : x
  2. Step 2: Convert to fraction form
    616.30/849.18 = 476.44/x
  3. Step 3: Cross multiply
    616.30x = 849.18 × 476.44
  4. Step 4: Simplify right side
    616.30x = 404,583.32
  5. Step 5: Solve for x
    x = 404,583.32/616.30
  6. Step 6: Final answer
    x = 656.47

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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.