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Finding the Fourth Proportional to 411.28, 613.62 and 374.80

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Solution

The fourth proportional to 411.28, 613.62 and 374.80 is: 559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.28 : 613.62 = 374.80 : x
  2. Step 2: Convert to fraction form
    411.28/613.62 = 374.80/x
  3. Step 3: Cross multiply
    411.28x = 613.62 × 374.80
  4. Step 4: Simplify right side
    411.28x = 229,984.78
  5. Step 5: Solve for x
    x = 229,984.78/411.28
  6. Step 6: Final answer
    x = 559.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.