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Finding the Fourth Proportional to 470.78, 650.07 and 331.21

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Solution

The fourth proportional to 470.78, 650.07 and 331.21 is: 457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.78 : 650.07 = 331.21 : x
  2. Step 2: Convert to fraction form
    470.78/650.07 = 331.21/x
  3. Step 3: Cross multiply
    470.78x = 650.07 × 331.21
  4. Step 4: Simplify right side
    470.78x = 215,308.06
  5. Step 5: Solve for x
    x = 215,308.06/470.78
  6. Step 6: Final answer
    x = 457.35

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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.