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Finding the Fourth Proportional to 958.85, 1,438.28 and 265.59

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Solution

The fourth proportional to 958.85, 1,438.28 and 265.59 is: 398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.85 : 1,438.28 = 265.59 : x
  2. Step 2: Convert to fraction form
    958.85/1,438.28 = 265.59/x
  3. Step 3: Cross multiply
    958.85x = 1,438.28 × 265.59
  4. Step 4: Simplify right side
    958.85x = 381,991.46
  5. Step 5: Solve for x
    x = 381,991.46/958.85
  6. Step 6: Final answer
    x = 398.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.