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Finding the Fourth Proportional to 476.27, 714.30 and 163.90

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Solution

The fourth proportional to 476.27, 714.30 and 163.90 is: 245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.27 : 714.30 = 163.90 : x
  2. Step 2: Convert to fraction form
    476.27/714.30 = 163.90/x
  3. Step 3: Cross multiply
    476.27x = 714.30 × 163.90
  4. Step 4: Simplify right side
    476.27x = 117,071.98
  5. Step 5: Solve for x
    x = 117,071.98/476.27
  6. Step 6: Final answer
    x = 245.81

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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.