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Finding the Fourth Proportional to 631.16, 945.46 and 301.64

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Solution

The fourth proportional to 631.16, 945.46 and 301.64 is: 451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.16 : 945.46 = 301.64 : x
  2. Step 2: Convert to fraction form
    631.16/945.46 = 301.64/x
  3. Step 3: Cross multiply
    631.16x = 945.46 × 301.64
  4. Step 4: Simplify right side
    631.16x = 285,184.20
  5. Step 5: Solve for x
    x = 285,184.20/631.16
  6. Step 6: Final answer
    x = 451.84

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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.