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Finding the Fourth Proportional to 476.39, 713.76 and 428.24

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Solution

The fourth proportional to 476.39, 713.76 and 428.24 is: 641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.39 : 713.76 = 428.24 : x
  2. Step 2: Convert to fraction form
    476.39/713.76 = 428.24/x
  3. Step 3: Cross multiply
    476.39x = 713.76 × 428.24
  4. Step 4: Simplify right side
    476.39x = 305,659.15
  5. Step 5: Solve for x
    x = 305,659.15/476.39
  6. Step 6: Final answer
    x = 641.62

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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.