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Finding the Fourth Proportional to 659.70, 989.14 and 294.38

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Solution

The fourth proportional to 659.70, 989.14 and 294.38 is: 441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.70 : 989.14 = 294.38 : x
  2. Step 2: Convert to fraction form
    659.70/989.14 = 294.38/x
  3. Step 3: Cross multiply
    659.70x = 989.14 × 294.38
  4. Step 4: Simplify right side
    659.70x = 291,183.03
  5. Step 5: Solve for x
    x = 291,183.03/659.70
  6. Step 6: Final answer
    x = 441.39

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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.