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Finding the Fourth Proportional to 437.75, 604.21 and 271.87

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Solution

The fourth proportional to 437.75, 604.21 and 271.87 is: 375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.75 : 604.21 = 271.87 : x
  2. Step 2: Convert to fraction form
    437.75/604.21 = 271.87/x
  3. Step 3: Cross multiply
    437.75x = 604.21 × 271.87
  4. Step 4: Simplify right side
    437.75x = 164,264.38
  5. Step 5: Solve for x
    x = 164,264.38/437.75
  6. Step 6: Final answer
    x = 375.25

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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.