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Finding the Fourth Proportional to 447.57, 670.94 and 230.69

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Solution

The fourth proportional to 447.57, 670.94 and 230.69 is: 345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.57 : 670.94 = 230.69 : x
  2. Step 2: Convert to fraction form
    447.57/670.94 = 230.69/x
  3. Step 3: Cross multiply
    447.57x = 670.94 × 230.69
  4. Step 4: Simplify right side
    447.57x = 154,779.15
  5. Step 5: Solve for x
    x = 154,779.15/447.57
  6. Step 6: Final answer
    x = 345.82

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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.