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Finding the Fourth Proportional to 996.34, 1,494.58 and 265.90

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Solution

The fourth proportional to 996.34, 1,494.58 and 265.90 is: 398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.34 : 1,494.58 = 265.90 : x
  2. Step 2: Convert to fraction form
    996.34/1,494.58 = 265.90/x
  3. Step 3: Cross multiply
    996.34x = 1,494.58 × 265.90
  4. Step 4: Simplify right side
    996.34x = 397,408.82
  5. Step 5: Solve for x
    x = 397,408.82/996.34
  6. Step 6: Final answer
    x = 398.87

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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.