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Finding the Fourth Proportional to 447.14, 615.69 and 421.16

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Solution

The fourth proportional to 447.14, 615.69 and 421.16 is: 579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.14 : 615.69 = 421.16 : x
  2. Step 2: Convert to fraction form
    447.14/615.69 = 421.16/x
  3. Step 3: Cross multiply
    447.14x = 615.69 × 421.16
  4. Step 4: Simplify right side
    447.14x = 259,300.92
  5. Step 5: Solve for x
    x = 259,300.92/447.14
  6. Step 6: Final answer
    x = 579.92

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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.