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Finding the Fourth Proportional to 411.08, 613.57 and 362.48

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Solution

The fourth proportional to 411.08, 613.57 and 362.48 is: 541.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.08 : 613.57 = 362.48 : x
  2. Step 2: Convert to fraction form
    411.08/613.57 = 362.48/x
  3. Step 3: Cross multiply
    411.08x = 613.57 × 362.48
  4. Step 4: Simplify right side
    411.08x = 222,406.85
  5. Step 5: Solve for x
    x = 222,406.85/411.08
  6. Step 6: Final answer
    x = 541.03

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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.