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Finding the Fourth Proportional to 437.78, 604.41 and 272.23

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Solution

The fourth proportional to 437.78, 604.41 and 272.23 is: 375.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.78 : 604.41 = 272.23 : x
  2. Step 2: Convert to fraction form
    437.78/604.41 = 272.23/x
  3. Step 3: Cross multiply
    437.78x = 604.41 × 272.23
  4. Step 4: Simplify right side
    437.78x = 164,536.00
  5. Step 5: Solve for x
    x = 164,536.00/437.78
  6. Step 6: Final answer
    x = 375.84

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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.