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Finding the Fourth Proportional to 437.36, 655.96 and 193.84

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Solution

The fourth proportional to 437.36, 655.96 and 193.84 is: 290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.36 : 655.96 = 193.84 : x
  2. Step 2: Convert to fraction form
    437.36/655.96 = 193.84/x
  3. Step 3: Cross multiply
    437.36x = 655.96 × 193.84
  4. Step 4: Simplify right side
    437.36x = 127,151.29
  5. Step 5: Solve for x
    x = 127,151.29/437.36
  6. Step 6: Final answer
    x = 290.72

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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.