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Finding the Fourth Proportional to 631.30, 947.22 and 220.21

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Solution

The fourth proportional to 631.30, 947.22 and 220.21 is: 330.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.30 : 947.22 = 220.21 : x
  2. Step 2: Convert to fraction form
    631.30/947.22 = 220.21/x
  3. Step 3: Cross multiply
    631.30x = 947.22 × 220.21
  4. Step 4: Simplify right side
    631.30x = 208,587.32
  5. Step 5: Solve for x
    x = 208,587.32/631.30
  6. Step 6: Final answer
    x = 330.41

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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.