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Finding the Fourth Proportional to 411.74, 567.87 and 349.77

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Solution

The fourth proportional to 411.74, 567.87 and 349.77 is: 482.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.74 : 567.87 = 349.77 : x
  2. Step 2: Convert to fraction form
    411.74/567.87 = 349.77/x
  3. Step 3: Cross multiply
    411.74x = 567.87 × 349.77
  4. Step 4: Simplify right side
    411.74x = 198,622.58
  5. Step 5: Solve for x
    x = 198,622.58/411.74
  6. Step 6: Final answer
    x = 482.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.