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Finding the Fourth Proportional to 445.75, 615.04 and 321.82

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Solution

The fourth proportional to 445.75, 615.04 and 321.82 is: 444.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.75 : 615.04 = 321.82 : x
  2. Step 2: Convert to fraction form
    445.75/615.04 = 321.82/x
  3. Step 3: Cross multiply
    445.75x = 615.04 × 321.82
  4. Step 4: Simplify right side
    445.75x = 197,932.17
  5. Step 5: Solve for x
    x = 197,932.17/445.75
  6. Step 6: Final answer
    x = 444.04

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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.