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Finding the Fourth Proportional to 409.05, 613.51 and 135.10

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Solution

The fourth proportional to 409.05, 613.51 and 135.10 is: 202.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.05 : 613.51 = 135.10 : x
  2. Step 2: Convert to fraction form
    409.05/613.51 = 135.10/x
  3. Step 3: Cross multiply
    409.05x = 613.51 × 135.10
  4. Step 4: Simplify right side
    409.05x = 82,885.63
  5. Step 5: Solve for x
    x = 82,885.63/409.05
  6. Step 6: Final answer
    x = 202.63

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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.