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Finding the Fourth Proportional to 411.08, 617.98 and 319.82

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Solution

The fourth proportional to 411.08, 617.98 and 319.82 is: 480.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.08 : 617.98 = 319.82 : x
  2. Step 2: Convert to fraction form
    411.08/617.98 = 319.82/x
  3. Step 3: Cross multiply
    411.08x = 617.98 × 319.82
  4. Step 4: Simplify right side
    411.08x = 197,642.36
  5. Step 5: Solve for x
    x = 197,642.36/411.08
  6. Step 6: Final answer
    x = 480.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.