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Finding the Fourth Proportional to 437.84, 603.84 and 271.88

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Solution

The fourth proportional to 437.84, 603.84 and 271.88 is: 374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.84 : 603.84 = 271.88 : x
  2. Step 2: Convert to fraction form
    437.84/603.84 = 271.88/x
  3. Step 3: Cross multiply
    437.84x = 603.84 × 271.88
  4. Step 4: Simplify right side
    437.84x = 164,172.02
  5. Step 5: Solve for x
    x = 164,172.02/437.84
  6. Step 6: Final answer
    x = 374.96

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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.