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Finding the Fourth Proportional to 437.02, 655.38 and 409.34

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Solution

The fourth proportional to 437.02, 655.38 and 409.34 is: 613.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.02 : 655.38 = 409.34 : x
  2. Step 2: Convert to fraction form
    437.02/655.38 = 409.34/x
  3. Step 3: Cross multiply
    437.02x = 655.38 × 409.34
  4. Step 4: Simplify right side
    437.02x = 268,273.25
  5. Step 5: Solve for x
    x = 268,273.25/437.02
  6. Step 6: Final answer
    x = 613.88

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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.