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Finding the Fourth Proportional to 631.22, 945.74 and 387.25

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Solution

The fourth proportional to 631.22, 945.74 and 387.25 is: 580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.22 : 945.74 = 387.25 : x
  2. Step 2: Convert to fraction form
    631.22/945.74 = 387.25/x
  3. Step 3: Cross multiply
    631.22x = 945.74 × 387.25
  4. Step 4: Simplify right side
    631.22x = 366,236.42
  5. Step 5: Solve for x
    x = 366,236.42/631.22
  6. Step 6: Final answer
    x = 580.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.