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Finding the Fourth Proportional to 631.64, 947.36 and 220.57

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Solution

The fourth proportional to 631.64, 947.36 and 220.57 is: 330.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.64 : 947.36 = 220.57 : x
  2. Step 2: Convert to fraction form
    631.64/947.36 = 220.57/x
  3. Step 3: Cross multiply
    631.64x = 947.36 × 220.57
  4. Step 4: Simplify right side
    631.64x = 208,957.38
  5. Step 5: Solve for x
    x = 208,957.38/631.64
  6. Step 6: Final answer
    x = 330.82

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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.