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Finding the Fourth Proportional to 410.66, 615.39 and 324.21

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Solution

The fourth proportional to 410.66, 615.39 and 324.21 is: 485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.66 : 615.39 = 324.21 : x
  2. Step 2: Convert to fraction form
    410.66/615.39 = 324.21/x
  3. Step 3: Cross multiply
    410.66x = 615.39 × 324.21
  4. Step 4: Simplify right side
    410.66x = 199,515.59
  5. Step 5: Solve for x
    x = 199,515.59/410.66
  6. Step 6: Final answer
    x = 485.84

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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.