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Finding the Fourth Proportional to 358.97, 538.45 and 221.60

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Solution

The fourth proportional to 358.97, 538.45 and 221.60 is: 332.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.97 : 538.45 = 221.60 : x
  2. Step 2: Convert to fraction form
    358.97/538.45 = 221.60/x
  3. Step 3: Cross multiply
    358.97x = 538.45 × 221.60
  4. Step 4: Simplify right side
    358.97x = 119,320.52
  5. Step 5: Solve for x
    x = 119,320.52/358.97
  6. Step 6: Final answer
    x = 332.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.