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Finding the Fourth Proportional to 437.24, 655.30 and 205.64

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Solution

The fourth proportional to 437.24, 655.30 and 205.64 is: 308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.24 : 655.30 = 205.64 : x
  2. Step 2: Convert to fraction form
    437.24/655.30 = 205.64/x
  3. Step 3: Cross multiply
    437.24x = 655.30 × 205.64
  4. Step 4: Simplify right side
    437.24x = 134,754.06
  5. Step 5: Solve for x
    x = 134,754.06/437.24
  6. Step 6: Final answer
    x = 308.20

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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.