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Finding the Fourth Proportional to 613.30, 845.67 and 416.92

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Solution

The fourth proportional to 613.30, 845.67 and 416.92 is: 574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.30 : 845.67 = 416.92 : x
  2. Step 2: Convert to fraction form
    613.30/845.67 = 416.92/x
  3. Step 3: Cross multiply
    613.30x = 845.67 × 416.92
  4. Step 4: Simplify right side
    613.30x = 352,576.74
  5. Step 5: Solve for x
    x = 352,576.74/613.30
  6. Step 6: Final answer
    x = 574.88

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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.