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Finding the Fourth Proportional to 335.26, 499.99 and 286.82

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Solution

The fourth proportional to 335.26, 499.99 and 286.82 is: 427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.26 : 499.99 = 286.82 : x
  2. Step 2: Convert to fraction form
    335.26/499.99 = 286.82/x
  3. Step 3: Cross multiply
    335.26x = 499.99 × 286.82
  4. Step 4: Simplify right side
    335.26x = 143,407.13
  5. Step 5: Solve for x
    x = 143,407.13/335.26
  6. Step 6: Final answer
    x = 427.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.