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Finding the Fourth Proportional to 499.68, 688.68 and 324.72

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Solution

The fourth proportional to 499.68, 688.68 and 324.72 is: 447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.68 : 688.68 = 324.72 : x
  2. Step 2: Convert to fraction form
    499.68/688.68 = 324.72/x
  3. Step 3: Cross multiply
    499.68x = 688.68 × 324.72
  4. Step 4: Simplify right side
    499.68x = 223,628.17
  5. Step 5: Solve for x
    x = 223,628.17/499.68
  6. Step 6: Final answer
    x = 447.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.