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Finding the Fourth Proportional to 475.14, 656.06 and 428.33

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Solution

The fourth proportional to 475.14, 656.06 and 428.33 is: 591.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.14 : 656.06 = 428.33 : x
  2. Step 2: Convert to fraction form
    475.14/656.06 = 428.33/x
  3. Step 3: Cross multiply
    475.14x = 656.06 × 428.33
  4. Step 4: Simplify right side
    475.14x = 281,007.97
  5. Step 5: Solve for x
    x = 281,007.97/475.14
  6. Step 6: Final answer
    x = 591.42

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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.