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Finding the Fourth Proportional to 407.23, 610.81 and 329.77

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Solution

The fourth proportional to 407.23, 610.81 and 329.77 is: 494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.23 : 610.81 = 329.77 : x
  2. Step 2: Convert to fraction form
    407.23/610.81 = 329.77/x
  3. Step 3: Cross multiply
    407.23x = 610.81 × 329.77
  4. Step 4: Simplify right side
    407.23x = 201,426.81
  5. Step 5: Solve for x
    x = 201,426.81/407.23
  6. Step 6: Final answer
    x = 494.63

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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.