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Finding the Fourth Proportional to 475, 654.92 and 306.68

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Solution

The fourth proportional to 475, 654.92 and 306.68 is: 422.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    475 : 654.92 = 306.68 : x
  2. Step 2: Convert to fraction form
    475/654.92 = 306.68/x
  3. Step 3: Cross multiply
    475x = 654.92 × 306.68
  4. Step 4: Simplify right side
    475x = 200,850.87
  5. Step 5: Solve for x
    x = 200,850.87/475
  6. Step 6: Final answer
    x = 422.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.