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Finding the Fourth Proportional to 407.39, 609.71 and 245.19

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Solution

The fourth proportional to 407.39, 609.71 and 245.19 is: 366.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.39 : 609.71 = 245.19 : x
  2. Step 2: Convert to fraction form
    407.39/609.71 = 245.19/x
  3. Step 3: Cross multiply
    407.39x = 609.71 × 245.19
  4. Step 4: Simplify right side
    407.39x = 149,493.57
  5. Step 5: Solve for x
    x = 149,493.57/407.39
  6. Step 6: Final answer
    x = 366.96

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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.