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Finding the Fourth Proportional to 633.64, 950.66 and 243.76

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Solution

The fourth proportional to 633.64, 950.66 and 243.76 is: 365.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.64 : 950.66 = 243.76 : x
  2. Step 2: Convert to fraction form
    633.64/950.66 = 243.76/x
  3. Step 3: Cross multiply
    633.64x = 950.66 × 243.76
  4. Step 4: Simplify right side
    633.64x = 231,732.88
  5. Step 5: Solve for x
    x = 231,732.88/633.64
  6. Step 6: Final answer
    x = 365.72

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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.