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Finding the Fourth Proportional to 411.12, 613.21 and 349.56

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Solution

The fourth proportional to 411.12, 613.21 and 349.56 is: 521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.12 : 613.21 = 349.56 : x
  2. Step 2: Convert to fraction form
    411.12/613.21 = 349.56/x
  3. Step 3: Cross multiply
    411.12x = 613.21 × 349.56
  4. Step 4: Simplify right side
    411.12x = 214,352.81
  5. Step 5: Solve for x
    x = 214,352.81/411.12
  6. Step 6: Final answer
    x = 521.39

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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.