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Finding the Fourth Proportional to 475.74, 713.73 and 187.02

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Solution

The fourth proportional to 475.74, 713.73 and 187.02 is: 280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.74 : 713.73 = 187.02 : x
  2. Step 2: Convert to fraction form
    475.74/713.73 = 187.02/x
  3. Step 3: Cross multiply
    475.74x = 713.73 × 187.02
  4. Step 4: Simplify right side
    475.74x = 133,481.78
  5. Step 5: Solve for x
    x = 133,481.78/475.74
  6. Step 6: Final answer
    x = 280.58

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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.