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Finding the Fourth Proportional to 447.12, 617.53 and 377.76

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Solution

The fourth proportional to 447.12, 617.53 and 377.76 is: 521.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.12 : 617.53 = 377.76 : x
  2. Step 2: Convert to fraction form
    447.12/617.53 = 377.76/x
  3. Step 3: Cross multiply
    447.12x = 617.53 × 377.76
  4. Step 4: Simplify right side
    447.12x = 233,276.24
  5. Step 5: Solve for x
    x = 233,276.24/447.12
  6. Step 6: Final answer
    x = 521.74

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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.