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Finding the Fourth Proportional to 318.64, 475.73 and 282.28

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Solution

The fourth proportional to 318.64, 475.73 and 282.28 is: 421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.64 : 475.73 = 282.28 : x
  2. Step 2: Convert to fraction form
    318.64/475.73 = 282.28/x
  3. Step 3: Cross multiply
    318.64x = 475.73 × 282.28
  4. Step 4: Simplify right side
    318.64x = 134,289.06
  5. Step 5: Solve for x
    x = 134,289.06/318.64
  6. Step 6: Final answer
    x = 421.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.