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Finding the Fourth Proportional to 491, 735.96 and 274.46

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Solution

The fourth proportional to 491, 735.96 and 274.46 is: 411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    491 : 735.96 = 274.46 : x
  2. Step 2: Convert to fraction form
    491/735.96 = 274.46/x
  3. Step 3: Cross multiply
    491x = 735.96 × 274.46
  4. Step 4: Simplify right side
    491x = 201,991.58
  5. Step 5: Solve for x
    x = 201,991.58/491
  6. Step 6: Final answer
    x = 411.39

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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.