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Finding the Fourth Proportional to 633.73, 950.73 and 287.14

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Solution

The fourth proportional to 633.73, 950.73 and 287.14 is: 430.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.73 : 950.73 = 287.14 : x
  2. Step 2: Convert to fraction form
    633.73/950.73 = 287.14/x
  3. Step 3: Cross multiply
    633.73x = 950.73 × 287.14
  4. Step 4: Simplify right side
    633.73x = 272,992.61
  5. Step 5: Solve for x
    x = 272,992.61/633.73
  6. Step 6: Final answer
    x = 430.77

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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.