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Finding the Fourth Proportional to 475.57, 713.05 and 201.59

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Solution

The fourth proportional to 475.57, 713.05 and 201.59 is: 302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.57 : 713.05 = 201.59 : x
  2. Step 2: Convert to fraction form
    475.57/713.05 = 201.59/x
  3. Step 3: Cross multiply
    475.57x = 713.05 × 201.59
  4. Step 4: Simplify right side
    475.57x = 143,740.57
  5. Step 5: Solve for x
    x = 143,740.57/475.57
  6. Step 6: Final answer
    x = 302.25

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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.