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Finding the Fourth Proportional to 437.12, 655.32 and 193.50

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Solution

The fourth proportional to 437.12, 655.32 and 193.50 is: 290.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.12 : 655.32 = 193.50 : x
  2. Step 2: Convert to fraction form
    437.12/655.32 = 193.50/x
  3. Step 3: Cross multiply
    437.12x = 655.32 × 193.50
  4. Step 4: Simplify right side
    437.12x = 126,804.42
  5. Step 5: Solve for x
    x = 126,804.42/437.12
  6. Step 6: Final answer
    x = 290.09

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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.