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Finding the Fourth Proportional to 438.50, 604.94 and 272.42

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Solution

The fourth proportional to 438.50, 604.94 and 272.42 is: 375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.50 : 604.94 = 272.42 : x
  2. Step 2: Convert to fraction form
    438.50/604.94 = 272.42/x
  3. Step 3: Cross multiply
    438.50x = 604.94 × 272.42
  4. Step 4: Simplify right side
    438.50x = 164,797.75
  5. Step 5: Solve for x
    x = 164,797.75/438.50
  6. Step 6: Final answer
    x = 375.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.