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Finding the Fourth Proportional to 499.36, 688.62 and 374.68

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Solution

The fourth proportional to 499.36, 688.62 and 374.68 is: 516.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.36 : 688.62 = 374.68 : x
  2. Step 2: Convert to fraction form
    499.36/688.62 = 374.68/x
  3. Step 3: Cross multiply
    499.36x = 688.62 × 374.68
  4. Step 4: Simplify right side
    499.36x = 258,012.14
  5. Step 5: Solve for x
    x = 258,012.14/499.36
  6. Step 6: Final answer
    x = 516.69

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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.