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Finding the Fourth Proportional to 475.82, 713.82 and 187.26

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Solution

The fourth proportional to 475.82, 713.82 and 187.26 is: 280.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.82 : 713.82 = 187.26 : x
  2. Step 2: Convert to fraction form
    475.82/713.82 = 187.26/x
  3. Step 3: Cross multiply
    475.82x = 713.82 × 187.26
  4. Step 4: Simplify right side
    475.82x = 133,669.93
  5. Step 5: Solve for x
    x = 133,669.93/475.82
  6. Step 6: Final answer
    x = 280.93

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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.