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Finding the Fourth Proportional to 427.58, 640.58 and 221.64

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Solution

The fourth proportional to 427.58, 640.58 and 221.64 is: 332.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.58 : 640.58 = 221.64 : x
  2. Step 2: Convert to fraction form
    427.58/640.58 = 221.64/x
  3. Step 3: Cross multiply
    427.58x = 640.58 × 221.64
  4. Step 4: Simplify right side
    427.58x = 141,977.04
  5. Step 5: Solve for x
    x = 141,977.04/427.58
  6. Step 6: Final answer
    x = 332.05

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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.