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Finding the Fourth Proportional to 437.34, 655.90 and 229.06

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Solution

The fourth proportional to 437.34, 655.90 and 229.06 is: 343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.34 : 655.90 = 229.06 : x
  2. Step 2: Convert to fraction form
    437.34/655.90 = 229.06/x
  3. Step 3: Cross multiply
    437.34x = 655.90 × 229.06
  4. Step 4: Simplify right side
    437.34x = 150,238.24
  5. Step 5: Solve for x
    x = 150,238.24/437.34
  6. Step 6: Final answer
    x = 343.53

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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.