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Finding the Fourth Proportional to 470.82, 705.90 and 287.94

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Solution

The fourth proportional to 470.82, 705.90 and 287.94 is: 431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.82 : 705.90 = 287.94 : x
  2. Step 2: Convert to fraction form
    470.82/705.90 = 287.94/x
  3. Step 3: Cross multiply
    470.82x = 705.90 × 287.94
  4. Step 4: Simplify right side
    470.82x = 203,256.85
  5. Step 5: Solve for x
    x = 203,256.85/470.82
  6. Step 6: Final answer
    x = 431.71

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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.