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Finding the Fourth Proportional to 475.72, 712.99 and 201.50

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Solution

The fourth proportional to 475.72, 712.99 and 201.50 is: 302.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.72 : 712.99 = 201.50 : x
  2. Step 2: Convert to fraction form
    475.72/712.99 = 201.50/x
  3. Step 3: Cross multiply
    475.72x = 712.99 × 201.50
  4. Step 4: Simplify right side
    475.72x = 143,667.49
  5. Step 5: Solve for x
    x = 143,667.49/475.72
  6. Step 6: Final answer
    x = 302.00

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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.