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Finding the Fourth Proportional to 407.09, 609.45 and 252.55

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Solution

The fourth proportional to 407.09, 609.45 and 252.55 is: 378.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.09 : 609.45 = 252.55 : x
  2. Step 2: Convert to fraction form
    407.09/609.45 = 252.55/x
  3. Step 3: Cross multiply
    407.09x = 609.45 × 252.55
  4. Step 4: Simplify right side
    407.09x = 153,915.33
  5. Step 5: Solve for x
    x = 153,915.33/407.09
  6. Step 6: Final answer
    x = 378.09

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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.