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Finding the Fourth Proportional to 476.47, 713.35 and 311.41

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Solution

The fourth proportional to 476.47, 713.35 and 311.41 is: 466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.47 : 713.35 = 311.41 : x
  2. Step 2: Convert to fraction form
    476.47/713.35 = 311.41/x
  3. Step 3: Cross multiply
    476.47x = 713.35 × 311.41
  4. Step 4: Simplify right side
    476.47x = 222,144.32
  5. Step 5: Solve for x
    x = 222,144.32/476.47
  6. Step 6: Final answer
    x = 466.23

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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.