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Finding the Fourth Proportional to 411.49, 613.77 and 349.93

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Solution

The fourth proportional to 411.49, 613.77 and 349.93 is: 521.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.49 : 613.77 = 349.93 : x
  2. Step 2: Convert to fraction form
    411.49/613.77 = 349.93/x
  3. Step 3: Cross multiply
    411.49x = 613.77 × 349.93
  4. Step 4: Simplify right side
    411.49x = 214,775.99
  5. Step 5: Solve for x
    x = 214,775.99/411.49
  6. Step 6: Final answer
    x = 521.95

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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.