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Finding the Fourth Proportional to 410.82, 615.63 and 333.92

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Solution

The fourth proportional to 410.82, 615.63 and 333.92 is: 500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.82 : 615.63 = 333.92 : x
  2. Step 2: Convert to fraction form
    410.82/615.63 = 333.92/x
  3. Step 3: Cross multiply
    410.82x = 615.63 × 333.92
  4. Step 4: Simplify right side
    410.82x = 205,571.14
  5. Step 5: Solve for x
    x = 205,571.14/410.82
  6. Step 6: Final answer
    x = 500.39

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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.