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Finding the Fourth Proportional to 437.21, 655.82 and 281.39

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Solution

The fourth proportional to 437.21, 655.82 and 281.39 is: 422.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.21 : 655.82 = 281.39 : x
  2. Step 2: Convert to fraction form
    437.21/655.82 = 281.39/x
  3. Step 3: Cross multiply
    437.21x = 655.82 × 281.39
  4. Step 4: Simplify right side
    437.21x = 184,536.50
  5. Step 5: Solve for x
    x = 184,536.50/437.21
  6. Step 6: Final answer
    x = 422.08

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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.