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Finding the Fourth Proportional to 499.54, 749.23 and 308.34

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Solution

The fourth proportional to 499.54, 749.23 and 308.34 is: 462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.54 : 749.23 = 308.34 : x
  2. Step 2: Convert to fraction form
    499.54/749.23 = 308.34/x
  3. Step 3: Cross multiply
    499.54x = 749.23 × 308.34
  4. Step 4: Simplify right side
    499.54x = 231,017.58
  5. Step 5: Solve for x
    x = 231,017.58/499.54
  6. Step 6: Final answer
    x = 462.46

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