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Finding the Fourth Proportional to 958.90, 1,438.32 and 274.90

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Solution

The fourth proportional to 958.90, 1,438.32 and 274.90 is: 412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.90 : 1,438.32 = 274.90 : x
  2. Step 2: Convert to fraction form
    958.90/1,438.32 = 274.90/x
  3. Step 3: Cross multiply
    958.90x = 1,438.32 × 274.90
  4. Step 4: Simplify right side
    958.90x = 395,394.17
  5. Step 5: Solve for x
    x = 395,394.17/958.90
  6. Step 6: Final answer
    x = 412.34

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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.