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Finding the Fourth Proportional to 475.74, 713.64 and 129.08

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Solution

The fourth proportional to 475.74, 713.64 and 129.08 is: 193.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.74 : 713.64 = 129.08 : x
  2. Step 2: Convert to fraction form
    475.74/713.64 = 129.08/x
  3. Step 3: Cross multiply
    475.74x = 713.64 × 129.08
  4. Step 4: Simplify right side
    475.74x = 92,112.44
  5. Step 5: Solve for x
    x = 92,112.44/475.74
  6. Step 6: Final answer
    x = 193.62

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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.