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Finding the Fourth Proportional to 447.05, 616.58 and 341.88

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Solution

The fourth proportional to 447.05, 616.58 and 341.88 is: 471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.05 : 616.58 = 341.88 : x
  2. Step 2: Convert to fraction form
    447.05/616.58 = 341.88/x
  3. Step 3: Cross multiply
    447.05x = 616.58 × 341.88
  4. Step 4: Simplify right side
    447.05x = 210,797.23
  5. Step 5: Solve for x
    x = 210,797.23/447.05
  6. Step 6: Final answer
    x = 471.53

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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.