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Finding the Fourth Proportional to 447.84, 671.04 and 242.28

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Solution

The fourth proportional to 447.84, 671.04 and 242.28 is: 363.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.84 : 671.04 = 242.28 : x
  2. Step 2: Convert to fraction form
    447.84/671.04 = 242.28/x
  3. Step 3: Cross multiply
    447.84x = 671.04 × 242.28
  4. Step 4: Simplify right side
    447.84x = 162,579.57
  5. Step 5: Solve for x
    x = 162,579.57/447.84
  6. Step 6: Final answer
    x = 363.03

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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.