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Finding the Fourth Proportional to 455.35, 682.20 and 318.13

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Solution

The fourth proportional to 455.35, 682.20 and 318.13 is: 476.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.35 : 682.20 = 318.13 : x
  2. Step 2: Convert to fraction form
    455.35/682.20 = 318.13/x
  3. Step 3: Cross multiply
    455.35x = 682.20 × 318.13
  4. Step 4: Simplify right side
    455.35x = 217,028.29
  5. Step 5: Solve for x
    x = 217,028.29/455.35
  6. Step 6: Final answer
    x = 476.62

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Why These Related Problems?

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