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Finding the Fourth Proportional to 616.34, 849.89 and 485.12

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Solution

The fourth proportional to 616.34, 849.89 and 485.12 is: 668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.34 : 849.89 = 485.12 : x
  2. Step 2: Convert to fraction form
    616.34/849.89 = 485.12/x
  3. Step 3: Cross multiply
    616.34x = 849.89 × 485.12
  4. Step 4: Simplify right side
    616.34x = 412,291.96
  5. Step 5: Solve for x
    x = 412,291.96/616.34
  6. Step 6: Final answer
    x = 668.94

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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.