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Finding the Fourth Proportional to 437.08, 655.68 and 193.36

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Solution

The fourth proportional to 437.08, 655.68 and 193.36 is: 290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.08 : 655.68 = 193.36 : x
  2. Step 2: Convert to fraction form
    437.08/655.68 = 193.36/x
  3. Step 3: Cross multiply
    437.08x = 655.68 × 193.36
  4. Step 4: Simplify right side
    437.08x = 126,782.28
  5. Step 5: Solve for x
    x = 126,782.28/437.08
  6. Step 6: Final answer
    x = 290.07

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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.