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Finding the Fourth Proportional to 959.40, 1,438.79 and 309.98

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Solution

The fourth proportional to 959.40, 1,438.79 and 309.98 is: 464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.40 : 1,438.79 = 309.98 : x
  2. Step 2: Convert to fraction form
    959.40/1,438.79 = 309.98/x
  3. Step 3: Cross multiply
    959.40x = 1,438.79 × 309.98
  4. Step 4: Simplify right side
    959.40x = 445,996.12
  5. Step 5: Solve for x
    x = 445,996.12/959.40
  6. Step 6: Final answer
    x = 464.87

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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.