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Finding the Fourth Proportional to 411.86, 567.32 and 341.80

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Solution

The fourth proportional to 411.86, 567.32 and 341.80 is: 470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.86 : 567.32 = 341.80 : x
  2. Step 2: Convert to fraction form
    411.86/567.32 = 341.80/x
  3. Step 3: Cross multiply
    411.86x = 567.32 × 341.80
  4. Step 4: Simplify right side
    411.86x = 193,909.98
  5. Step 5: Solve for x
    x = 193,909.98/411.86
  6. Step 6: Final answer
    x = 470.82

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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.