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Finding the Fourth Proportional to 358.44, 494.64 and 201.08

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Solution

The fourth proportional to 358.44, 494.64 and 201.08 is: 277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.44 : 494.64 = 201.08 : x
  2. Step 2: Convert to fraction form
    358.44/494.64 = 201.08/x
  3. Step 3: Cross multiply
    358.44x = 494.64 × 201.08
  4. Step 4: Simplify right side
    358.44x = 99,462.21
  5. Step 5: Solve for x
    x = 99,462.21/358.44
  6. Step 6: Final answer
    x = 277.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.