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Finding the Fourth Proportional to 613.83, 846.82 and 392.70

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Solution

The fourth proportional to 613.83, 846.82 and 392.70 is: 541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.83 : 846.82 = 392.70 : x
  2. Step 2: Convert to fraction form
    613.83/846.82 = 392.70/x
  3. Step 3: Cross multiply
    613.83x = 846.82 × 392.70
  4. Step 4: Simplify right side
    613.83x = 332,546.21
  5. Step 5: Solve for x
    x = 332,546.21/613.83
  6. Step 6: Final answer
    x = 541.76

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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.