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Finding the Fourth Proportional to 610.37, 841.84 and 516.97

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Solution

The fourth proportional to 610.37, 841.84 and 516.97 is: 713.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.37 : 841.84 = 516.97 : x
  2. Step 2: Convert to fraction form
    610.37/841.84 = 516.97/x
  3. Step 3: Cross multiply
    610.37x = 841.84 × 516.97
  4. Step 4: Simplify right side
    610.37x = 435,206.02
  5. Step 5: Solve for x
    x = 435,206.02/610.37
  6. Step 6: Final answer
    x = 713.02

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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.