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Finding the Fourth Proportional to 438.69, 657.26 and 412.68

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Solution

The fourth proportional to 438.69, 657.26 and 412.68 is: 618.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.69 : 657.26 = 412.68 : x
  2. Step 2: Convert to fraction form
    438.69/657.26 = 412.68/x
  3. Step 3: Cross multiply
    438.69x = 657.26 × 412.68
  4. Step 4: Simplify right side
    438.69x = 271,238.06
  5. Step 5: Solve for x
    x = 271,238.06/438.69
  6. Step 6: Final answer
    x = 618.29

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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.