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Finding the Fourth Proportional to 358.40, 494.59 and 201.03

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Solution

The fourth proportional to 358.40, 494.59 and 201.03 is: 277.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.40 : 494.59 = 201.03 : x
  2. Step 2: Convert to fraction form
    358.40/494.59 = 201.03/x
  3. Step 3: Cross multiply
    358.40x = 494.59 × 201.03
  4. Step 4: Simplify right side
    358.40x = 99,428.12
  5. Step 5: Solve for x
    x = 99,428.12/358.40
  6. Step 6: Final answer
    x = 277.42

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Why These Related Problems?

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