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Finding the Fourth Proportional to 332.57, 458.99 and 201.62

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Solution

The fourth proportional to 332.57, 458.99 and 201.62 is: 278.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.57 : 458.99 = 201.62 : x
  2. Step 2: Convert to fraction form
    332.57/458.99 = 201.62/x
  3. Step 3: Cross multiply
    332.57x = 458.99 × 201.62
  4. Step 4: Simplify right side
    332.57x = 92,538.26
  5. Step 5: Solve for x
    x = 92,538.26/332.57
  6. Step 6: Final answer
    x = 278.26

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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.