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Finding the Fourth Proportional to 475.84, 713.83 and 201.86

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Solution

The fourth proportional to 475.84, 713.83 and 201.86 is: 302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.84 : 713.83 = 201.86 : x
  2. Step 2: Convert to fraction form
    475.84/713.83 = 201.86/x
  3. Step 3: Cross multiply
    475.84x = 713.83 × 201.86
  4. Step 4: Simplify right side
    475.84x = 144,089.65
  5. Step 5: Solve for x
    x = 144,089.65/475.84
  6. Step 6: Final answer
    x = 302.81

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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.