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Finding the Fourth Proportional to 447.43, 670.53 and 242.11

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Solution

The fourth proportional to 447.43, 670.53 and 242.11 is: 362.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.43 : 670.53 = 242.11 : x
  2. Step 2: Convert to fraction form
    447.43/670.53 = 242.11/x
  3. Step 3: Cross multiply
    447.43x = 670.53 × 242.11
  4. Step 4: Simplify right side
    447.43x = 162,342.02
  5. Step 5: Solve for x
    x = 162,342.02/447.43
  6. Step 6: Final answer
    x = 362.83

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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.