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Finding the Fourth Proportional to 494.94, 741.29 and 289.20

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Solution

The fourth proportional to 494.94, 741.29 and 289.20 is: 433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.94 : 741.29 = 289.20 : x
  2. Step 2: Convert to fraction form
    494.94/741.29 = 289.20/x
  3. Step 3: Cross multiply
    494.94x = 741.29 × 289.20
  4. Step 4: Simplify right side
    494.94x = 214,379.62
  5. Step 5: Solve for x
    x = 214,379.62/494.94
  6. Step 6: Final answer
    x = 433.14

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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.