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Finding the Fourth Proportional to 491.20, 736.19 and 361.75

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Solution

The fourth proportional to 491.20, 736.19 and 361.75 is: 542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.20 : 736.19 = 361.75 : x
  2. Step 2: Convert to fraction form
    491.20/736.19 = 361.75/x
  3. Step 3: Cross multiply
    491.20x = 736.19 × 361.75
  4. Step 4: Simplify right side
    491.20x = 266,316.73
  5. Step 5: Solve for x
    x = 266,316.73/491.20
  6. Step 6: Final answer
    x = 542.18

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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.