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Finding the Fourth Proportional to 475.01, 712.46 and 201.10

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Solution

The fourth proportional to 475.01, 712.46 and 201.10 is: 301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.01 : 712.46 = 201.10 : x
  2. Step 2: Convert to fraction form
    475.01/712.46 = 201.10/x
  3. Step 3: Cross multiply
    475.01x = 712.46 × 201.10
  4. Step 4: Simplify right side
    475.01x = 143,275.76
  5. Step 5: Solve for x
    x = 143,275.76/475.01
  6. Step 6: Final answer
    x = 301.62

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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.