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Finding the Fourth Proportional to 996.38, 1,494.57 and 346.94

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Solution

The fourth proportional to 996.38, 1,494.57 and 346.94 is: 520.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.38 : 1,494.57 = 346.94 : x
  2. Step 2: Convert to fraction form
    996.38/1,494.57 = 346.94/x
  3. Step 3: Cross multiply
    996.38x = 1,494.57 × 346.94
  4. Step 4: Simplify right side
    996.38x = 518,526.12
  5. Step 5: Solve for x
    x = 518,526.12/996.38
  6. Step 6: Final answer
    x = 520.41

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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.