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Finding the Fourth Proportional to 427.82, 640.13 and 302.36

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Solution

The fourth proportional to 427.82, 640.13 and 302.36 is: 452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.82 : 640.13 = 302.36 : x
  2. Step 2: Convert to fraction form
    427.82/640.13 = 302.36/x
  3. Step 3: Cross multiply
    427.82x = 640.13 × 302.36
  4. Step 4: Simplify right side
    427.82x = 193,544.99
  5. Step 5: Solve for x
    x = 193,544.99/427.82
  6. Step 6: Final answer
    x = 452.40

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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.