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Finding the Fourth Proportional to 499.14, 749.62 and 378.25

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Solution

The fourth proportional to 499.14, 749.62 and 378.25 is: 568.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.14 : 749.62 = 378.25 : x
  2. Step 2: Convert to fraction form
    499.14/749.62 = 378.25/x
  3. Step 3: Cross multiply
    499.14x = 749.62 × 378.25
  4. Step 4: Simplify right side
    499.14x = 283,542.36
  5. Step 5: Solve for x
    x = 283,542.36/499.14
  6. Step 6: Final answer
    x = 568.06

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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.