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Finding the Fourth Proportional to 411.12, 613.26 and 386.28

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Solution

The fourth proportional to 411.12, 613.26 and 386.28 is: 576.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.12 : 613.26 = 386.28 : x
  2. Step 2: Convert to fraction form
    411.12/613.26 = 386.28/x
  3. Step 3: Cross multiply
    411.12x = 613.26 × 386.28
  4. Step 4: Simplify right side
    411.12x = 236,890.07
  5. Step 5: Solve for x
    x = 236,890.07/411.12
  6. Step 6: Final answer
    x = 576.21

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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.