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Finding the Fourth Proportional to 438.26, 657.25 and 409.50

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Solution

The fourth proportional to 438.26, 657.25 and 409.50 is: 614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.26 : 657.25 = 409.50 : x
  2. Step 2: Convert to fraction form
    438.26/657.25 = 409.50/x
  3. Step 3: Cross multiply
    438.26x = 657.25 × 409.50
  4. Step 4: Simplify right side
    438.26x = 269,142.85
  5. Step 5: Solve for x
    x = 269,142.85/438.26
  6. Step 6: Final answer
    x = 614.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.