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Finding the Fourth Proportional to 318.08, 476.52 and 286.28

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Solution

The fourth proportional to 318.08, 476.52 and 286.28 is: 428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.08 : 476.52 = 286.28 : x
  2. Step 2: Convert to fraction form
    318.08/476.52 = 286.28/x
  3. Step 3: Cross multiply
    318.08x = 476.52 × 286.28
  4. Step 4: Simplify right side
    318.08x = 136,418.15
  5. Step 5: Solve for x
    x = 136,418.15/318.08
  6. Step 6: Final answer
    x = 428.88

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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.