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Finding the Fourth Proportional to 470.95, 650.29 and 305.44

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Solution

The fourth proportional to 470.95, 650.29 and 305.44 is: 421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.95 : 650.29 = 305.44 : x
  2. Step 2: Convert to fraction form
    470.95/650.29 = 305.44/x
  3. Step 3: Cross multiply
    470.95x = 650.29 × 305.44
  4. Step 4: Simplify right side
    470.95x = 198,624.56
  5. Step 5: Solve for x
    x = 198,624.56/470.95
  6. Step 6: Final answer
    x = 421.76

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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.