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Finding the Fourth Proportional to 470.96, 650.10 and 305.36

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Solution

The fourth proportional to 470.96, 650.10 and 305.36 is: 421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.96 : 650.10 = 305.36 : x
  2. Step 2: Convert to fraction form
    470.96/650.10 = 305.36/x
  3. Step 3: Cross multiply
    470.96x = 650.10 × 305.36
  4. Step 4: Simplify right side
    470.96x = 198,514.54
  5. Step 5: Solve for x
    x = 198,514.54/470.96
  6. Step 6: Final answer
    x = 421.51

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