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Finding the Fourth Proportional to 499.47, 749.29 and 225.69

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Solution

The fourth proportional to 499.47, 749.29 and 225.69 is: 338.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.47 : 749.29 = 225.69 : x
  2. Step 2: Convert to fraction form
    499.47/749.29 = 225.69/x
  3. Step 3: Cross multiply
    499.47x = 749.29 × 225.69
  4. Step 4: Simplify right side
    499.47x = 169,103.51
  5. Step 5: Solve for x
    x = 169,103.51/499.47
  6. Step 6: Final answer
    x = 338.57

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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.