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Finding the Fourth Proportional to 437.05, 655.78 and 193.78

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Solution

The fourth proportional to 437.05, 655.78 and 193.78 is: 290.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.05 : 655.78 = 193.78 : x
  2. Step 2: Convert to fraction form
    437.05/655.78 = 193.78/x
  3. Step 3: Cross multiply
    437.05x = 655.78 × 193.78
  4. Step 4: Simplify right side
    437.05x = 127,077.05
  5. Step 5: Solve for x
    x = 127,077.05/437.05
  6. Step 6: Final answer
    x = 290.76

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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.