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Finding the Fourth Proportional to 473.85, 712.14 and 441.04

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Solution

The fourth proportional to 473.85, 712.14 and 441.04 is: 662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.85 : 712.14 = 441.04 : x
  2. Step 2: Convert to fraction form
    473.85/712.14 = 441.04/x
  3. Step 3: Cross multiply
    473.85x = 712.14 × 441.04
  4. Step 4: Simplify right side
    473.85x = 314,082.23
  5. Step 5: Solve for x
    x = 314,082.23/473.85
  6. Step 6: Final answer
    x = 662.83

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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.