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Finding the Fourth Proportional to 412.84, 618.73 and 169.07

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Solution

The fourth proportional to 412.84, 618.73 and 169.07 is: 253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.84 : 618.73 = 169.07 : x
  2. Step 2: Convert to fraction form
    412.84/618.73 = 169.07/x
  3. Step 3: Cross multiply
    412.84x = 618.73 × 169.07
  4. Step 4: Simplify right side
    412.84x = 104,609.81
  5. Step 5: Solve for x
    x = 104,609.81/412.84
  6. Step 6: Final answer
    x = 253.39

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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.