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Finding the Fourth Proportional to 407.59, 611.37 and 335.29

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Solution

The fourth proportional to 407.59, 611.37 and 335.29 is: 502.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.59 : 611.37 = 335.29 : x
  2. Step 2: Convert to fraction form
    407.59/611.37 = 335.29/x
  3. Step 3: Cross multiply
    407.59x = 611.37 × 335.29
  4. Step 4: Simplify right side
    407.59x = 204,986.25
  5. Step 5: Solve for x
    x = 204,986.25/407.59
  6. Step 6: Final answer
    x = 502.92

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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.