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Finding the Fourth Proportional to 438.26, 656.71 and 221.45

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Solution

The fourth proportional to 438.26, 656.71 and 221.45 is: 331.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.26 : 656.71 = 221.45 : x
  2. Step 2: Convert to fraction form
    438.26/656.71 = 221.45/x
  3. Step 3: Cross multiply
    438.26x = 656.71 × 221.45
  4. Step 4: Simplify right side
    438.26x = 145,424.59
  5. Step 5: Solve for x
    x = 145,424.59/438.26
  6. Step 6: Final answer
    x = 331.83

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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.