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Finding the Fourth Proportional to 412.44, 614.70 and 409.04

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Solution

The fourth proportional to 412.44, 614.70 and 409.04 is: 609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.44 : 614.70 = 409.04 : x
  2. Step 2: Convert to fraction form
    412.44/614.70 = 409.04/x
  3. Step 3: Cross multiply
    412.44x = 614.70 × 409.04
  4. Step 4: Simplify right side
    412.44x = 251,436.89
  5. Step 5: Solve for x
    x = 251,436.89/412.44
  6. Step 6: Final answer
    x = 609.63

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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.