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Finding the Fourth Proportional to 631.54, 947.37 and 215.15

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Solution

The fourth proportional to 631.54, 947.37 and 215.15 is: 322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.54 : 947.37 = 215.15 : x
  2. Step 2: Convert to fraction form
    631.54/947.37 = 215.15/x
  3. Step 3: Cross multiply
    631.54x = 947.37 × 215.15
  4. Step 4: Simplify right side
    631.54x = 203,826.66
  5. Step 5: Solve for x
    x = 203,826.66/631.54
  6. Step 6: Final answer
    x = 322.75

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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.