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Finding the Fourth Proportional to 470.92, 650.12 and 354.64

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Solution

The fourth proportional to 470.92, 650.12 and 354.64 is: 489.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.92 : 650.12 = 354.64 : x
  2. Step 2: Convert to fraction form
    470.92/650.12 = 354.64/x
  3. Step 3: Cross multiply
    470.92x = 650.12 × 354.64
  4. Step 4: Simplify right side
    470.92x = 230,558.56
  5. Step 5: Solve for x
    x = 230,558.56/470.92
  6. Step 6: Final answer
    x = 489.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.