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Finding the Fourth Proportional to 437.09, 654.01 and 274.01

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Solution

The fourth proportional to 437.09, 654.01 and 274.01 is: 409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.09 : 654.01 = 274.01 : x
  2. Step 2: Convert to fraction form
    437.09/654.01 = 274.01/x
  3. Step 3: Cross multiply
    437.09x = 654.01 × 274.01
  4. Step 4: Simplify right side
    437.09x = 179,201.33
  5. Step 5: Solve for x
    x = 179,201.33/437.09
  6. Step 6: Final answer
    x = 409.99

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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.