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Finding the Fourth Proportional to 475.52, 713.38 and 201.52

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Solution

The fourth proportional to 475.52, 713.38 and 201.52 is: 302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.52 : 713.38 = 201.52 : x
  2. Step 2: Convert to fraction form
    475.52/713.38 = 201.52/x
  3. Step 3: Cross multiply
    475.52x = 713.38 × 201.52
  4. Step 4: Simplify right side
    475.52x = 143,760.34
  5. Step 5: Solve for x
    x = 143,760.34/475.52
  6. Step 6: Final answer
    x = 302.32

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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.