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Finding the Fourth Proportional to 476.12, 713.02 and 270.06

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Solution

The fourth proportional to 476.12, 713.02 and 270.06 is: 404.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.12 : 713.02 = 270.06 : x
  2. Step 2: Convert to fraction form
    476.12/713.02 = 270.06/x
  3. Step 3: Cross multiply
    476.12x = 713.02 × 270.06
  4. Step 4: Simplify right side
    476.12x = 192,558.18
  5. Step 5: Solve for x
    x = 192,558.18/476.12
  6. Step 6: Final answer
    x = 404.43

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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.