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Finding the Fourth Proportional to 410.73, 611.45 and 408.30

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Solution

The fourth proportional to 410.73, 611.45 and 408.30 is: 607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.73 : 611.45 = 408.30 : x
  2. Step 2: Convert to fraction form
    410.73/611.45 = 408.30/x
  3. Step 3: Cross multiply
    410.73x = 611.45 × 408.30
  4. Step 4: Simplify right side
    410.73x = 249,652.99
  5. Step 5: Solve for x
    x = 249,652.99/410.73
  6. Step 6: Final answer
    x = 607.83

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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.